doc/src/sgml/contrib.sgml                       |    1 +
 doc/src/sgml/ctidscan.sgml                      |   52 ++
 doc/src/sgml/filelist.sgml                      |    1 +
 src/test/modules/Makefile                       |    1 +
 src/test/modules/ctidscan/Makefile              |   16 +
 src/test/modules/ctidscan/ctidscan.c            |  808 ++++++++++++++++
 src/test/modules/ctidscan/expected/ctidscan.out | 1119 +++++++++++++++++++++++
 src/test/modules/ctidscan/sql/ctidscan.sql      |   99 ++
 src/test/regress/expected/custom_scan.out       |    0
 src/test/regress/sql/custom_scan.sql            |   53 ++
 10 files changed, 2150 insertions(+)

diff --git a/doc/src/sgml/contrib.sgml b/doc/src/sgml/contrib.sgml
index a698d0f..59eab97 100644
--- a/doc/src/sgml/contrib.sgml
+++ b/doc/src/sgml/contrib.sgml
@@ -109,6 +109,7 @@ CREATE EXTENSION <replaceable>module_name</> FROM unpackaged;
  &btree-gist;
  &chkpass;
  &citext;
+ &ctidscan;
  &cube;
  &dblink;
  &dict-int;
diff --git a/doc/src/sgml/ctidscan.sgml b/doc/src/sgml/ctidscan.sgml
new file mode 100644
index 0000000..fa21b0f
--- /dev/null
+++ b/doc/src/sgml/ctidscan.sgml
@@ -0,0 +1,52 @@
+<!-- doc/src/sgml/ctidscan.sgml  -->
+
+<sect1 id="ctidscan" xreflabel="ctidscan">
+ <title>ctidscan</title>
+
+ <indexterm zone="ctidscan">
+  <primary>ctidscan</primary>
+ </indexterm>
+
+ <para>
+  This module implements a custom-scan provider that utilizes inequality
+  operator that involves the <literal>ctid</literal> system column.
+ </para>
+
+ <para>
+  This module provides no SQL accessible interface. For installation,
+  all you need to do is just load the module to the server.
+
+  You can load it an individual session using:
+<programlisting>
+LOAD 'ctidscan';
+</programlisting>
+
+  or, you can also take more typical usage with extension preloading
+  using <xref linkend="guc-session-preload-libraries"> or
+  <xref linkend="guc-shared-preload-libraries"> in
+  <filename>postgresql.conf</>.
+
+  Then, planner may consider more cheap execution path if supplied query
+  involves above operators.
+ </para>
+ <variablelist>
+  <varlistentry>
+   <term>
+    <varname>enable_ctidscan</varname> (<type>bool</type>)
+    <indexterm>
+      <primary><varname>enable_ctidscan</> configuration parameter</primary>
+    </indexterm>
+   </term>
+   <listitem>
+    <para>
+     <varname>enable_ctidscan</varname> turns on/off functionality of
+     ctidscan custom-scan provider.
+     If turned off, it does not offer alternative scan path even if
+     supplied query is sufficient to run by ctidscan plan.
+     Its default is <literal>true</>.
+     Anybody can change using <command>SET</command> command.
+    </para>
+   </listitem>
+  </varlistentry>
+ </variablelist>
+</sect1>
diff --git a/doc/src/sgml/filelist.sgml b/doc/src/sgml/filelist.sgml
index f03b72a..15d569e 100644
--- a/doc/src/sgml/filelist.sgml
+++ b/doc/src/sgml/filelist.sgml
@@ -107,6 +107,7 @@
 <!ENTITY btree-gist      SYSTEM "btree-gist.sgml">
 <!ENTITY chkpass         SYSTEM "chkpass.sgml">
 <!ENTITY citext          SYSTEM "citext.sgml">
+<!ENTITY ctidscan        SYSTEM "ctidscan.sgml">
 <!ENTITY cube            SYSTEM "cube.sgml">
 <!ENTITY dblink          SYSTEM "dblink.sgml">
 <!ENTITY dict-int        SYSTEM "dict-int.sgml">
diff --git a/src/test/modules/Makefile b/src/test/modules/Makefile
index 93d93af..c288276 100644
--- a/src/test/modules/Makefile
+++ b/src/test/modules/Makefile
@@ -6,6 +6,7 @@ include $(top_builddir)/src/Makefile.global
 
 SUBDIRS = \
 		  commit_ts \
+		  ctidscan \
 		  worker_spi \
 		  dummy_seclabel \
 		  test_shm_mq \
diff --git a/src/test/modules/ctidscan/Makefile b/src/test/modules/ctidscan/Makefile
new file mode 100644
index 0000000..bbe280a
--- /dev/null
+++ b/src/test/modules/ctidscan/Makefile
@@ -0,0 +1,16 @@
+# contrib/ctidscan/Makefile
+
+MODULES = ctidscan
+
+REGRESS = ctidscan
+
+ifdef USE_PGXS
+PG_CONFIG = pg_config
+PGXS := $(shell $(PG_CONFIG) --pgxs)
+include $(PGXS)
+else
+subdir = src/test/modules/ctidscan
+top_builddir = ../../../..
+include $(top_builddir)/src/Makefile.global
+include $(top_srcdir)/contrib/contrib-global.mk
+endif
diff --git a/src/test/modules/ctidscan/ctidscan.c b/src/test/modules/ctidscan/ctidscan.c
new file mode 100644
index 0000000..85b8304
--- /dev/null
+++ b/src/test/modules/ctidscan/ctidscan.c
@@ -0,0 +1,808 @@
+/*
+ * ctidscan.c
+ *
+ * A custom-scan provide that utilizes ctid system column within
+ * inequality-operators, to skip block reads never referenced.
+ *
+ * It is designed to demonstrate Custom Scan APIs; that allows to override
+ * a part of executor node. This extension focus on a workload that tries
+ * to fetch records with tid larger or less than a particular value.
+ * In case when inequality operators were given, this module construct
+ * a custom scan path that enables to skip records not to be read. Then,
+ * if it was the cheapest one, it shall be used to run the query.
+ * Custom Scan APIs callbacks this extension when executor tries to fetch
+ * underlying records, then it utilizes existing heap_getnext() but seek
+ * the records to be read prior to fetching the first record.
+ *
+ * Portions Copyright (c) 2014, PostgreSQL Global Development Group
+ */
+#include "postgres.h"
+#include "access/relscan.h"
+#include "access/sysattr.h"
+#include "catalog/pg_operator.h"
+#include "catalog/pg_type.h"
+#include "commands/defrem.h"
+#include "commands/explain.h"
+#include "executor/executor.h"
+#include "executor/nodeCustom.h"
+#include "fmgr.h"
+#include "miscadmin.h"
+#include "nodes/makefuncs.h"
+#include "nodes/nodeFuncs.h"
+#include "optimizer/clauses.h"
+#include "optimizer/cost.h"
+#include "optimizer/paths.h"
+#include "optimizer/pathnode.h"
+#include "optimizer/plancat.h"
+#include "optimizer/planmain.h"
+#include "optimizer/placeholder.h"
+#include "optimizer/restrictinfo.h"
+#include "optimizer/subselect.h"
+#include "parser/parsetree.h"
+#include "storage/bufmgr.h"
+#include "storage/itemptr.h"
+#include "utils/builtins.h"
+#include "utils/fmgroids.h"
+#include "utils/guc.h"
+#include "utils/lsyscache.h"
+#include "utils/memutils.h"
+#include "utils/rel.h"
+#include "utils/ruleutils.h"
+#include "utils/spccache.h"
+
+/* missing declaration in pg_proc.h */
+#ifndef TIDGreaterOperator
+#define TIDGreaterOperator		2800
+#endif
+#ifndef TIDLessEqualOperator
+#define TIDLessEqualOperator	2801
+#endif
+#ifndef TIDGreaterEqualOperator
+#define TIDGreaterEqualOperator	2802
+#endif
+
+PG_MODULE_MAGIC;
+
+/*
+ * NOTE: We don't use any special data type to save the private data.
+ * All we want to save in private fields is expression-list that shall
+ * be adjusted by setrefs.c/subselect.c, so we put it on the custom_exprs
+ * of CustomScan structure, not custom_private field.
+ * Due to the interface contract, only expression nodes are allowed to put
+ * on the custom_exprs, and we have to pay attention the core backend may
+ * adjust expression items.
+ */
+
+/*
+ * CtidScanState - state object of ctidscan on executor.
+ * It has few additional internal state. The 'ctid_quals' has list of
+ * ExprState for inequality operators that involve ctid system column.
+ */
+typedef struct {
+	CustomScanState	css;
+	List		   *ctid_quals;		/* list of ExprState for inequality ops */
+} CtidScanState;
+
+/* static variables */
+static bool		enable_ctidscan;
+static set_rel_pathlist_hook_type set_rel_pathlist_next = NULL;
+
+/* function declarations */
+void	_PG_init(void);
+
+static void SetCtidScanPath(PlannerInfo *root,
+							RelOptInfo *rel,
+							Index rti,
+							RangeTblEntry *rte);
+/* CustomPathMethods */
+static Plan *PlanCtidScanPath(PlannerInfo *root,
+							  RelOptInfo *rel,
+							  CustomPath *best_path,
+							  List *tlist,
+							  List *clauses);
+
+/* CustomScanMethods */
+static Node *CreateCtidScanState(CustomScan *custom_plan);
+
+/* CustomScanExecMethods */
+static void BeginCtidScan(CustomScanState *node, EState *estate, int eflags);
+static void ReScanCtidScan(CustomScanState *node);
+static TupleTableSlot *ExecCtidScan(CustomScanState *node);
+static void EndCtidScan(CustomScanState *node);
+static void ExplainCtidScan(CustomScanState *node, List *ancestors,
+							ExplainState *es);
+
+/* static table of custom-scan callbacks */
+static CustomPathMethods	ctidscan_path_methods = {
+	"ctidscan",				/* CustomName */
+	PlanCtidScanPath,		/* PlanCustomPath */
+	NULL,					/* TextOutCustomPath */
+};
+
+static CustomScanMethods	ctidscan_scan_methods = {
+	"ctidscan",				/* CustomName */
+	CreateCtidScanState,	/* CreateCustomScanState */
+	NULL,					/* TextOutCustomScan */
+};
+
+static CustomExecMethods	ctidscan_exec_methods = {
+	"ctidscan",				/* CustomName */
+	BeginCtidScan,			/* BeginCustomScan */
+	ExecCtidScan,			/* ExecCustomScan */
+	EndCtidScan,			/* EndCustomScan */
+	ReScanCtidScan,			/* ReScanCustomScan */
+	NULL,					/* MarkPosCustomScan */
+	NULL,					/* RestrPosCustomScan */
+	ExplainCtidScan,		/* ExplainCustomScan */
+};
+
+#define IsCTIDVar(node,rtindex)											\
+	((node) != NULL &&													\
+	 IsA((node), Var) &&												\
+	 ((Var *) (node))->varno == (rtindex) &&							\
+	 ((Var *) (node))->varattno == SelfItemPointerAttributeNumber &&	\
+	 ((Var *) (node))->varlevelsup == 0)
+
+/*
+ * CTidQualFromExpr
+ *
+ * It checks whether the given restriction clauses enables to determine
+ * the zone to be scanned, or not. If one or more restriction clauses are
+ * available, it returns a list of them, or NIL elsewhere.
+ * The caller can consider all the conditions are chained with AND-
+ * boolean operator, so all the operator works for narrowing down the
+ * scope of custom tid scan.
+ */
+static List *
+CTidQualFromExpr(Node *expr, int varno)
+{
+	if (is_opclause(expr))
+	{
+		OpExpr *op = (OpExpr *) expr;
+		Node   *arg1;
+		Node   *arg2;
+		Node   *other = NULL;
+
+		/* only inequality operators are candidate */
+		if (op->opno != TIDLessOperator &&
+			op->opno != TIDLessEqualOperator &&
+			op->opno != TIDGreaterOperator &&
+			op->opno != TIDGreaterEqualOperator)
+			return NULL;
+
+		if (list_length(op->args) != 2)
+			return false;	/* should not happen */
+
+		arg1 = linitial(op->args);
+		arg2 = lsecond(op->args);
+
+		if (IsCTIDVar(arg1, varno))
+			other = arg2;
+		else if (IsCTIDVar(arg2, varno))
+			other = arg1;
+		else
+			return NULL;
+		if (exprType(other) != TIDOID)
+			return NULL;	/* should not happen */
+		/* The other argument must be a pseudoconstant */
+		if (!is_pseudo_constant_clause(other))
+			return NULL;
+
+		return list_make1(copyObject(op));
+	}
+	else if (and_clause(expr))
+	{
+		List	   *rlst = NIL;
+		ListCell   *lc;
+
+		foreach(lc, ((BoolExpr *) expr)->args)
+		{
+			List   *temp = CTidQualFromExpr((Node *) lfirst(lc), varno);
+
+			rlst = list_concat(rlst, temp);
+		}
+		return rlst;
+	}
+	return NIL;
+}
+
+/*
+ * CTidEstimateCosts
+ *
+ * It estimates cost to scan the target relation according to the given
+ * restriction clauses. Its logic to scan relations are almost same as
+ * SeqScan doing, because it uses regular heap_getnext(), except for
+ * the number of tuples to be scanned if restriction clauses work well.
+*/
+static void
+CTidEstimateCosts(PlannerInfo *root,
+				  RelOptInfo *baserel,
+				  CustomPath *cpath)
+{
+	Path	   *path = &cpath->path;
+	List	   *ctid_quals = cpath->custom_private;
+	ListCell   *lc;
+	double		ntuples;
+	ItemPointerData ip_min;
+	ItemPointerData ip_max;
+	bool		has_min_val = false;
+	bool		has_max_val = false;
+	BlockNumber	num_pages;
+	Cost		startup_cost = 0;
+	Cost		run_cost = 0;
+	Cost		cpu_per_tuple;
+	QualCost	qpqual_cost;
+	QualCost	ctid_qual_cost;
+	double		spc_random_page_cost;
+
+	/* Should only be applied to base relations */
+	Assert(baserel->relid > 0);
+	Assert(baserel->rtekind == RTE_RELATION);
+
+	/* Mark the path with the correct row estimate */
+	if (path->param_info)
+		path->rows = path->param_info->ppi_rows;
+	else
+		path->rows = baserel->rows;
+
+	/* Estimate how many tuples we may retrieve */
+	ItemPointerSet(&ip_min, 0, 0);
+	ItemPointerSet(&ip_max, MaxBlockNumber, MaxOffsetNumber);
+	foreach (lc, ctid_quals)
+	{
+		OpExpr	   *op = lfirst(lc);
+		Oid			opno;
+		Node	   *other;
+
+		Assert(is_opclause(op));
+		if (IsCTIDVar(linitial(op->args), baserel->relid))
+		{
+			opno = op->opno;
+			other = lsecond(op->args);
+		}
+		else if (IsCTIDVar(lsecond(op->args), baserel->relid))
+		{
+			/* To simplifies, we assume as if Var node is 1st argument */
+			opno = get_commutator(op->opno);
+			other = linitial(op->args);
+		}
+		else
+			elog(ERROR, "could not identify CTID variable");
+
+		if (IsA(other, Const))
+		{
+			ItemPointer	ip = (ItemPointer)(((Const *) other)->constvalue);
+
+			/*
+			 * Just an rough estimation, we don't distinct inequality and
+			 * inequality-or-equal operator from scan-size estimation
+			 * perspective.
+			 */
+			switch (opno)
+			{
+				case TIDLessOperator:
+				case TIDLessEqualOperator:
+					if (ItemPointerCompare(ip, &ip_max) < 0)
+						ItemPointerCopy(ip, &ip_max);
+					has_max_val = true;
+					break;
+				case TIDGreaterOperator:
+				case TIDGreaterEqualOperator:
+					if (ItemPointerCompare(ip, &ip_min) > 0)
+						ItemPointerCopy(ip, &ip_min);
+					has_min_val = true;
+					break;
+				default:
+					elog(ERROR, "unexpected operator code: %u", op->opno);
+					break;
+			}
+		}
+	}
+
+	/* estimated number of tuples in this relation */
+	ntuples = baserel->pages * baserel->tuples;
+
+	if (has_min_val && has_max_val)
+	{
+		/* case of both side being bounded */
+		BlockNumber	bnum_max = BlockIdGetBlockNumber(&ip_max.ip_blkid);
+		BlockNumber	bnum_min = BlockIdGetBlockNumber(&ip_min.ip_blkid);
+
+		bnum_max = Min(bnum_max, baserel->pages);
+		bnum_min = Max(bnum_min, 0);
+		num_pages = Min(bnum_max - bnum_min + 1, 1);
+	}
+	else if (has_min_val)
+	{
+		/* case of only lower side being bounded */
+		BlockNumber	bnum_max = baserel->pages;
+		BlockNumber	bnum_min = BlockIdGetBlockNumber(&ip_min.ip_blkid);
+
+		bnum_min = Max(bnum_min, 0);
+		num_pages = Min(bnum_max - bnum_min + 1, 1);
+	}
+	else if (has_max_val)
+	{
+		/* case of only upper side being bounded */
+		BlockNumber	bnum_max = BlockIdGetBlockNumber(&ip_max.ip_blkid);
+		BlockNumber	bnum_min = 0;
+
+		bnum_max = Min(bnum_max, baserel->pages);
+		num_pages = Min(bnum_max - bnum_min + 1, 1);
+	}
+	else
+	{
+		/*
+		 * Just a rough estimation. We assume half of records shall be
+		 * read using this restriction clause, but indeterministic until
+		 * executor run it actually.
+		 */
+		num_pages = Max((baserel->pages + 1) / 2, 1);
+	}
+	ntuples *= ((double) num_pages) / ((double) baserel->pages);
+
+	/*
+	 * The TID qual expressions will be computed once, any other baserestrict
+	 * quals once per retrieved tuple.
+	 */
+	cost_qual_eval(&ctid_qual_cost, ctid_quals, root);
+
+	/* fetch estimated page cost for tablespace containing table */
+	get_tablespace_page_costs(baserel->reltablespace,
+							  &spc_random_page_cost,
+							  NULL);
+
+	/* disk costs --- assume each tuple on a different page */
+	run_cost += spc_random_page_cost * ntuples;
+
+	/*
+	 * Add scanning CPU costs
+	 * (logic copied from get_restriction_qual_cost)
+	 */
+	if (path->param_info)
+	{
+		/* Include costs of pushed-down clauses */
+		cost_qual_eval(&qpqual_cost, path->param_info->ppi_clauses, root);
+
+		qpqual_cost.startup += baserel->baserestrictcost.startup;
+		qpqual_cost.per_tuple += baserel->baserestrictcost.per_tuple;
+	}
+	else
+		qpqual_cost = baserel->baserestrictcost;
+
+	/*
+	 * We don't decrease cost for the inequality operators, because
+	 * it is subset of qpquals and still in.
+	 */
+	startup_cost += qpqual_cost.startup + ctid_qual_cost.per_tuple;
+	cpu_per_tuple = cpu_tuple_cost + qpqual_cost.per_tuple -
+		ctid_qual_cost.per_tuple;
+	run_cost = cpu_per_tuple * ntuples;
+
+	path->startup_cost = startup_cost;
+	path->total_cost = startup_cost + run_cost;
+}
+
+/*
+ * SetCtidScanPath - entrypoint of the series of custom-scan execution.
+ * It adds CustomPath if referenced relation has inequality expressions on
+ * the ctid system column.
+ */
+static void
+SetCtidScanPath(PlannerInfo *root, RelOptInfo *baserel,
+				Index rtindex, RangeTblEntry *rte)
+{
+	char			relkind;
+	ListCell	   *lc;
+	List		   *ctid_quals = NIL;
+
+	/* only plain relations are supported */
+	if (rte->rtekind != RTE_RELATION)
+		return;
+	relkind = get_rel_relkind(rte->relid);
+	if (relkind != RELKIND_RELATION &&
+		relkind != RELKIND_MATVIEW &&
+		relkind != RELKIND_TOASTVALUE)
+		return;
+
+	/*
+	 * NOTE: Unlike built-in execution path, always we can have core path
+	 * even though ctid scan is not available. So, simply, we don't add
+	 * any paths, instead of adding disable_cost.
+	 */
+	if (!enable_ctidscan)
+		return;
+
+	/* walk on the restrict info */
+	foreach (lc, baserel->baserestrictinfo)
+	{
+		RestrictInfo *rinfo = (RestrictInfo *) lfirst(lc);
+		List		 *temp;
+
+		if (!IsA(rinfo, RestrictInfo))
+			continue;		/* probably should never happen */
+		temp = CTidQualFromExpr((Node *) rinfo->clause, baserel->relid);
+		ctid_quals = list_concat(ctid_quals, temp);
+	}
+
+	/*
+	 * OK, it is case when a part of restriction clause makes sense to
+	 * reduce number of tuples, so we will add a custom scan path being
+	 * provided by this module.
+	 */
+	if (ctid_quals != NIL)
+	{
+		CustomPath *cpath;
+		Relids		required_outer;
+
+		/*
+		 * We don't support pushing join clauses into the quals of a ctidscan,
+		 * but it could still have required parameterization due to LATERAL
+		 * refs in its tlist.
+		 */
+		required_outer = baserel->lateral_relids;
+
+		cpath = palloc0(sizeof(CustomPath));
+		cpath->path.type = T_CustomPath;
+		cpath->path.pathtype = T_CustomScan;
+		cpath->path.parent = baserel;
+		cpath->path.param_info
+			= get_baserel_parampathinfo(root, baserel, required_outer);
+		cpath->flags = CUSTOMPATH_SUPPORT_BACKWARD_SCAN;
+		cpath->custom_private = ctid_quals;
+		cpath->methods = &ctidscan_path_methods;
+
+		CTidEstimateCosts(root, baserel, cpath);
+
+		add_path(baserel, &cpath->path);
+	}
+}
+
+/*
+ * PlanCtidScanPlan - A method of CustomPath; that populate a custom
+ * object being delivered from CustomScan type, according to the supplied
+ * CustomPath object.
+ */
+static Plan *
+PlanCtidScanPath(PlannerInfo *root,
+				 RelOptInfo *rel,
+				 CustomPath *best_path,
+				 List *tlist,
+				 List *clauses)
+{
+	List		   *ctid_quals = best_path->custom_private;
+	CustomScan	   *cscan = makeNode(CustomScan);
+
+	cscan->flags = best_path->flags;
+	cscan->methods = &ctidscan_scan_methods;
+
+	/* set scanrelid */
+	cscan->scan.scanrelid = rel->relid;
+	/* set targetlist as is  */
+	cscan->scan.plan.targetlist = tlist;
+	/* reduce RestrictInfo list to bare expressions */
+	cscan->scan.plan.qual = extract_actual_clauses(clauses, false);
+	/* set ctid related quals */
+	cscan->custom_exprs = ctid_quals;
+
+	return &cscan->scan.plan;
+}
+
+/*
+ * CreateCtidScanState - A method of CustomScan; that populate a custom
+ * object being delivered from CustomScanState type, according to the
+ * supplied CustomPath object.
+ */
+static Node *
+CreateCtidScanState(CustomScan *custom_plan)
+{
+	CtidScanState  *ctss = palloc0(sizeof(CtidScanState));
+
+	NodeSetTag(ctss, T_CustomScanState);
+	ctss->css.flags = custom_plan->flags;
+	ctss->css.methods = &ctidscan_exec_methods;
+
+	return (Node *)&ctss->css;
+}
+
+/*
+ * BeginCtidScan - A method of CustomScanState; that initializes
+ * the supplied CtidScanState object, at beginning of the executor.
+ */
+static void
+BeginCtidScan(CustomScanState *node, EState *estate, int eflags)
+{
+	CtidScanState  *ctss = (CtidScanState *) node;
+	CustomScan	   *cscan = (CustomScan *) node->ss.ps.plan;
+
+	/*
+	 * In case of custom-scan provider that offers an alternative way
+	 * to scan a particular relation, most of the needed initialization,
+	 * like relation open or assignment of scan tuple-slot or projection
+	 * info, shall be done by the core implementation. So, all we need
+	 * to have is initialization of own local properties.
+	 */
+	ctss->ctid_quals = (List *)
+		ExecInitExpr((Expr *)cscan->custom_exprs, &node->ss.ps);
+}
+
+/*
+ * ReScanCtidScan - A method of CustomScanState; that rewind the current
+ * seek position.
+ */
+static void
+ReScanCtidScan(CustomScanState *node)
+{
+	CtidScanState  *ctss = (CtidScanState *)node;
+	HeapScanDesc	scan = ctss->css.ss.ss_currentScanDesc;
+	EState		   *estate = node->ss.ps.state;
+	ScanDirection	direction = estate->es_direction;
+	Relation		relation = ctss->css.ss.ss_currentRelation;
+	ExprContext	   *econtext = ctss->css.ss.ps.ps_ExprContext;
+	ScanKeyData		keys[2];
+	bool			has_ubound = false;
+	bool			has_lbound = false;
+	ItemPointerData	ip_max;
+	ItemPointerData	ip_min;
+	ListCell	   *lc;
+
+	/* once close the existing scandesc, if any */
+	if (scan)
+	{
+		heap_endscan(scan);
+		scan = ctss->css.ss.ss_currentScanDesc = NULL;
+	}
+
+	/* walks on the inequality operators */
+	foreach (lc, ctss->ctid_quals)
+	{
+		FuncExprState  *fexstate = (FuncExprState *) lfirst(lc);
+		OpExpr		   *op = (OpExpr *)fexstate->xprstate.expr;
+		Node		   *arg1 = linitial(op->args);
+		Node		   *arg2 = lsecond(op->args);
+		Index			scanrelid;
+		Oid				opno;
+		ExprState	   *exstate;
+		ItemPointer		itemptr;
+		bool			isnull;
+
+		scanrelid = ((Scan *)ctss->css.ss.ps.plan)->scanrelid;
+		if (IsCTIDVar(arg1, scanrelid))
+		{
+			exstate = (ExprState *) lsecond(fexstate->args);
+			opno = op->opno;
+		}
+		else if (IsCTIDVar(arg2, scanrelid))
+		{
+			exstate = (ExprState *) linitial(fexstate->args);
+			opno = get_commutator(op->opno);
+		}
+		else
+			elog(ERROR, "could not identify CTID variable");
+
+		itemptr = (ItemPointer)
+			DatumGetPointer(ExecEvalExprSwitchContext(exstate,
+													  econtext,
+													  &isnull,
+													  NULL));
+		if (isnull)
+		{
+			/*
+			 * Whole of the restriction clauses chained with AND- boolean
+			 * operators because false, if one of the clauses has NULL result.
+			 * So, we can immediately break the evaluation to inform caller
+			 * it does not make sense to scan any more.
+			 * In this case, scandesc is kept to NULL.
+			 */
+			return;
+		}
+
+		switch (opno)
+		{
+			case TIDLessOperator:
+				if (!has_ubound ||
+					ItemPointerCompare(itemptr, &ip_max) <= 0)
+				{
+					ScanKeyInit(&keys[0],
+								SelfItemPointerAttributeNumber,
+								BTLessStrategyNumber,
+								F_TIDLT,
+								PointerGetDatum(itemptr));
+					ItemPointerCopy(itemptr, &ip_max);
+					has_ubound = true;
+				}
+				break;
+
+			case TIDLessEqualOperator:
+				if (!has_ubound ||
+					ItemPointerCompare(itemptr, &ip_max) < 0)
+				{
+					ScanKeyInit(&keys[0],
+								SelfItemPointerAttributeNumber,
+								BTLessEqualStrategyNumber,
+								F_TIDLE,
+								PointerGetDatum(itemptr));
+					ItemPointerCopy(itemptr, &ip_max);
+					has_ubound = true;
+				}
+				break;
+
+			case TIDGreaterOperator:
+				if (!has_lbound ||
+					ItemPointerCompare(itemptr, &ip_min) >= 0)
+				{
+					ScanKeyInit(&keys[1],
+								SelfItemPointerAttributeNumber,
+								BTGreaterStrategyNumber,
+								F_TIDGT,
+								PointerGetDatum(itemptr));
+					ItemPointerCopy(itemptr, &ip_min);
+					has_lbound = true;
+				}
+				break;
+
+			case TIDGreaterEqualOperator:
+				if (!has_lbound ||
+					ItemPointerCompare(itemptr, &ip_min) > 0)
+				{
+					ScanKeyInit(&keys[1],
+								SelfItemPointerAttributeNumber,
+								BTGreaterEqualStrategyNumber,
+								F_TIDGE,
+								PointerGetDatum(itemptr));
+					ItemPointerCopy(itemptr, &ip_min);
+					has_lbound = true;
+				}
+				break;
+
+			default:
+				elog(ERROR, "unsupported operator");
+				break;
+		}
+	}
+
+	/* begin heapscan with the key above */
+	if (has_ubound && has_lbound)
+		scan = heap_beginscan(relation, estate->es_snapshot, 2, &keys[0]);
+	else if (has_ubound)
+		scan = heap_beginscan(relation, estate->es_snapshot, 1, &keys[0]);
+	else if (has_lbound)
+		scan = heap_beginscan(relation, estate->es_snapshot, 1, &keys[1]);
+	else
+		scan = heap_beginscan(relation, estate->es_snapshot, 0, NULL);
+
+	/* Seek the starting position, if possible */
+	if (direction == ForwardScanDirection && has_lbound)
+	{
+		BlockNumber	blknum = Min(BlockIdGetBlockNumber(&ip_min.ip_blkid),
+								 scan->rs_nblocks - 1);
+		scan->rs_startblock = blknum;
+	}
+	else if (direction == BackwardScanDirection && has_ubound)
+	{
+		BlockNumber	blknum = Min(BlockIdGetBlockNumber(&ip_max.ip_blkid),
+								 scan->rs_nblocks - 1);
+		scan->rs_startblock = blknum;
+	}
+	ctss->css.ss.ss_currentScanDesc = scan;
+}
+
+/*
+ * CTidAccessCustomScan
+ *
+ * Access method of ExecCtidScan below. It fetches a tuple from the underlying
+ * heap scan that was  started from the point according to the tid clauses.
+ */
+static TupleTableSlot *
+CTidAccessCustomScan(CustomScanState *node)
+{
+	CtidScanState  *ctss = (CtidScanState *) node;
+	HeapScanDesc	scan;
+	TupleTableSlot *slot;
+	EState		   *estate = node->ss.ps.state;
+	ScanDirection	direction = estate->es_direction;
+	HeapTuple		tuple;
+
+	if (!ctss->css.ss.ss_currentScanDesc)
+		ReScanCtidScan(node);
+	scan = ctss->css.ss.ss_currentScanDesc;
+	Assert(scan != NULL);
+
+	/*
+	 * get the next tuple from the table
+	 */
+	tuple = heap_getnext(scan, direction);
+	if (!HeapTupleIsValid(tuple))
+		return NULL;
+
+	slot = ctss->css.ss.ss_ScanTupleSlot;
+	ExecStoreTuple(tuple, slot, scan->rs_cbuf, false);
+
+	return slot;
+}
+
+static bool
+CTidRecheckCustomScan(CustomScanState *node, TupleTableSlot *slot)
+{
+	return true;
+}
+
+/*
+ * ExecCtidScan - A method of CustomScanState; that fetches a tuple
+ * from the relation, if exist anymore.
+ */
+static TupleTableSlot *
+ExecCtidScan(CustomScanState *node)
+{
+	return ExecScan(&node->ss,
+					(ExecScanAccessMtd) CTidAccessCustomScan,
+					(ExecScanRecheckMtd) CTidRecheckCustomScan);
+}
+
+/*
+ * CTidEndCustomScan - A method of CustomScanState; that closes heap and
+ * scan descriptor, and release other related resources.
+ */
+static void
+EndCtidScan(CustomScanState *node)
+{
+	CtidScanState  *ctss = (CtidScanState *)node;
+
+	if (ctss->css.ss.ss_currentScanDesc)
+		heap_endscan(ctss->css.ss.ss_currentScanDesc);
+}
+
+/*
+ * ExplainCtidScan - A method of CustomScanState; that shows extra info
+ * on EXPLAIN command.
+ */
+static void
+ExplainCtidScan(CustomScanState *node, List *ancestors, ExplainState *es)
+{
+	CtidScanState  *ctss = (CtidScanState *) node;
+	CustomScan	   *cscan = (CustomScan *) ctss->css.ss.ps.plan;
+
+	/* logic copied from show_qual and show_expression */
+	if (cscan->custom_exprs)
+	{
+		bool	useprefix = es->verbose;
+		Node   *qual;
+		List   *context;
+		char   *exprstr;
+
+		/* Convert AND list to explicit AND */
+		qual = (Node *) make_ands_explicit(cscan->custom_exprs);
+
+		/* Set up deparsing context */
+		context = deparse_context_for_planstate((Node *)&node->ss.ps,
+												ancestors,
+												es->rtable,
+												es->rtable_names);
+
+		/* Deparse the expression */
+		exprstr = deparse_expression(qual, context, useprefix, false);
+
+		/* And add to es->str */
+		ExplainPropertyText("ctid quals", exprstr, es);
+	}
+}
+
+/*
+ * Entrypoint of this extension
+ */
+void
+_PG_init(void)
+{
+	DefineCustomBoolVariable("enable_ctidscan",
+							 "Enables the planner's use of ctid-scan plans.",
+							 NULL,
+							 &enable_ctidscan,
+							 true,
+							 PGC_USERSET,
+							 GUC_NOT_IN_SAMPLE,
+							 NULL, NULL, NULL);
+
+	/* registration of the hook to add alternative path */
+	set_rel_pathlist_next = set_rel_pathlist_hook;
+	set_rel_pathlist_hook = SetCtidScanPath;
+}
diff --git a/src/test/modules/ctidscan/expected/ctidscan.out b/src/test/modules/ctidscan/expected/ctidscan.out
new file mode 100644
index 0000000..90db9aa
--- /dev/null
+++ b/src/test/modules/ctidscan/expected/ctidscan.out
@@ -0,0 +1,1119 @@
+--
+-- Regression Tests for CustomScan Interface with CtidScan Provider
+--
+-- construction of test data
+SET client_min_messages TO 'warning';
+SET SEED TO 0.20140702;
+CREATE SCHEMA regtest_custom_scan;
+SET search_path TO regtest_custom_scan, public;
+CREATE TABLE t1 (
+    a   int primary key,
+    b   float,
+    c   text
+);
+INSERT INTO t1 (SELECT i, ceil(random()*10000.0) / 1000.0, md5(i::text) FROM generate_series(1,1000) i);
+VACUUM ANALYZE t1;
+CREATE TABLE t2 (
+    x   int primary key,
+    y   float,
+    z   text
+);
+INSERT INTO t2 (SELECT i, ceil(random()*10000.0) / 1000.0, md5((-i)::text) FROM generate_series(201,1200) i);
+VACUUM ANALYZE t2;
+CREATE TABLE t3 (
+    a   int references t1(a),
+    x   int references t2(x)
+);
+INSERT INTO t3 (SELECT ceil(random() * 1000), ceil(random() * 1000) + 200 FROM generate_series(1,8000) i);
+RESET client_min_messages;
+--
+-- Check Plans if no special extensions are loaded.
+--
+EXPLAIN (costs off) SELECT * FROM t1 WHERE a = 40 AND ctid < '(6,0)'::tid;
+           QUERY PLAN            
+---------------------------------
+ Index Scan using t1_pkey on t1
+   Index Cond: (a = 40)
+   Filter: (ctid < '(6,0)'::tid)
+(3 rows)
+
+EXPLAIN (costs off) SELECT * FROM t1 WHERE c like '%789%' AND ctid < '(5,0)'::tid;
+                         QUERY PLAN                         
+------------------------------------------------------------
+ Seq Scan on t1
+   Filter: ((c ~~ '%789%'::text) AND (ctid < '(5,0)'::tid))
+(2 rows)
+
+EXPLAIN (costs off) SELECT * FROM t1 WHERE ctid = '(2,10)'::tid;
+             QUERY PLAN             
+------------------------------------
+ Tid Scan on t1
+   TID Cond: (ctid = '(2,10)'::tid)
+(2 rows)
+
+EXPLAIN (costs off) SELECT * FROM t1 WHERE ctid BETWEEN '(2,115)'::tid AND '(3,10)'::tid;
+                            QUERY PLAN                            
+------------------------------------------------------------------
+ Seq Scan on t1
+   Filter: ((ctid >= '(2,115)'::tid) AND (ctid <= '(3,10)'::tid))
+(2 rows)
+
+EXPLAIN (costs off)
+    SELECT * FROM t1, t2, t3
+    WHERE t1.a = t3.a AND t2.x = t3.x
+          AND t1.ctid BETWEEN '(3,10)'::tid AND '(10,9999)'::tid
+          AND t2.ctid BETWEEN '(4,9999)'::tid AND '(8,0)'::tid
+          AND t3.ctid BETWEEN '(2,0)'::tid AND '(5,0)'::tid;
+                                      QUERY PLAN                                      
+--------------------------------------------------------------------------------------
+ Nested Loop
+   ->  Hash Join
+         Hash Cond: (t3.a = t1.a)
+         ->  Seq Scan on t3
+               Filter: ((ctid >= '(2,0)'::tid) AND (ctid <= '(5,0)'::tid))
+         ->  Hash
+               ->  Seq Scan on t1
+                     Filter: ((ctid >= '(3,10)'::tid) AND (ctid <= '(10,9999)'::tid))
+   ->  Index Scan using t2_pkey on t2
+         Index Cond: (x = t3.x)
+         Filter: ((ctid >= '(4,9999)'::tid) AND (ctid <= '(8,0)'::tid))
+(11 rows)
+
+EXPLAIN (costs off, verbose)
+    SELECT count(*), ceil(b)
+    FROM t1 WHERE ctid BETWEEN '(3,0)'::tid AND '(10,0)'::tid
+    GROUP BY ceil(b);
+                                 QUERY PLAN                                 
+----------------------------------------------------------------------------
+ HashAggregate
+   Output: count(*), (ceil(b))
+   Group Key: ceil(t1.b)
+   ->  Seq Scan on regtest_custom_scan.t1
+         Output: ceil(b)
+         Filter: ((t1.ctid >= '(3,0)'::tid) AND (t1.ctid <= '(10,0)'::tid))
+(6 rows)
+
+--
+-- Plan for same query but ctidscan was loaded
+--
+LOAD '$libdir/ctidscan';
+EXPLAIN (costs off) SELECT * FROM t1 WHERE a = 40 AND ctid < '(6,0)'::tid;
+           QUERY PLAN            
+---------------------------------
+ Index Scan using t1_pkey on t1
+   Index Cond: (a = 40)
+   Filter: (ctid < '(6,0)'::tid)
+(3 rows)
+
+EXPLAIN (costs off) SELECT * FROM t1 WHERE c like '%789%' AND ctid < '(5,0)'::tid;
+                         QUERY PLAN                         
+------------------------------------------------------------
+ Custom Scan (ctidscan) on t1
+   Filter: ((c ~~ '%789%'::text) AND (ctid < '(5,0)'::tid))
+   ctid quals: (ctid < '(5,0)'::tid)
+(3 rows)
+
+EXPLAIN (costs off) SELECT * FROM t1 WHERE ctid = '(2,10)'::tid;
+             QUERY PLAN             
+------------------------------------
+ Tid Scan on t1
+   TID Cond: (ctid = '(2,10)'::tid)
+(2 rows)
+
+EXPLAIN (costs off) SELECT * FROM t1 WHERE ctid BETWEEN '(2,115)'::tid AND '(3,10)'::tid;
+                              QUERY PLAN                              
+----------------------------------------------------------------------
+ Custom Scan (ctidscan) on t1
+   Filter: ((ctid >= '(2,115)'::tid) AND (ctid <= '(3,10)'::tid))
+   ctid quals: ((ctid >= '(2,115)'::tid) AND (ctid <= '(3,10)'::tid))
+(3 rows)
+
+EXPLAIN (costs off)
+    SELECT * FROM t1, t2, t3
+    WHERE t1.a = t3.a AND t2.x = t3.x
+          AND t1.ctid BETWEEN '(3,10)'::tid AND '(10,9999)'::tid
+          AND t2.ctid BETWEEN '(4,9999)'::tid AND '(8,0)'::tid
+          AND t3.ctid BETWEEN '(2,0)'::tid AND '(5,0)'::tid;
+                                        QUERY PLAN                                        
+------------------------------------------------------------------------------------------
+ Nested Loop
+   ->  Hash Join
+         Hash Cond: (t3.a = t1.a)
+         ->  Custom Scan (ctidscan) on t3
+               Filter: ((ctid >= '(2,0)'::tid) AND (ctid <= '(5,0)'::tid))
+               ctid quals: ((ctid >= '(2,0)'::tid) AND (ctid <= '(5,0)'::tid))
+         ->  Hash
+               ->  Custom Scan (ctidscan) on t1
+                     Filter: ((ctid >= '(3,10)'::tid) AND (ctid <= '(10,9999)'::tid))
+                     ctid quals: ((ctid >= '(3,10)'::tid) AND (ctid <= '(10,9999)'::tid))
+   ->  Index Scan using t2_pkey on t2
+         Index Cond: (x = t3.x)
+         Filter: ((ctid >= '(4,9999)'::tid) AND (ctid <= '(8,0)'::tid))
+(13 rows)
+
+EXPLAIN (costs off, verbose)
+    SELECT count(*), ceil(b)
+    FROM t1 WHERE ctid BETWEEN '(3,0)'::tid AND '(10,0)'::tid
+    GROUP BY ceil(b);
+                                   QUERY PLAN                                   
+--------------------------------------------------------------------------------
+ HashAggregate
+   Output: count(*), (ceil(b))
+   Group Key: ceil(t1.b)
+   ->  Custom Scan (ctidscan) on regtest_custom_scan.t1
+         Output: ceil(b)
+         Filter: ((t1.ctid >= '(3,0)'::tid) AND (t1.ctid <= '(10,0)'::tid))
+         ctid quals: ((t1.ctid >= '(3,0)'::tid) AND (t1.ctid <= '(10,0)'::tid))
+(7 rows)
+
+--
+-- Run the query without EXPLAIN
+--
+SELECT ctid,* FROM t1 WHERE ctid <= '(1,20)'::tid;
+  ctid  |  a  |   b   |                c                 
+--------+-----+-------+----------------------------------
+ (0,1)  |   1 | 2.727 | c4ca4238a0b923820dcc509a6f75849b
+ (0,2)  |   2 | 7.903 | c81e728d9d4c2f636f067f89cc14862c
+ (0,3)  |   3 | 9.098 | eccbc87e4b5ce2fe28308fd9f2a7baf3
+ (0,4)  |   4 | 0.488 | a87ff679a2f3e71d9181a67b7542122c
+ (0,5)  |   5 | 4.796 | e4da3b7fbbce2345d7772b0674a318d5
+ (0,6)  |   6 |  1.83 | 1679091c5a880faf6fb5e6087eb1b2dc
+ (0,7)  |   7 | 5.628 | 8f14e45fceea167a5a36dedd4bea2543
+ (0,8)  |   8 | 8.416 | c9f0f895fb98ab9159f51fd0297e236d
+ (0,9)  |   9 | 5.311 | 45c48cce2e2d7fbdea1afc51c7c6ad26
+ (0,10) |  10 | 1.431 | d3d9446802a44259755d38e6d163e820
+ (0,11) |  11 | 9.431 | 6512bd43d9caa6e02c990b0a82652dca
+ (0,12) |  12 | 6.578 | c20ad4d76fe97759aa27a0c99bff6710
+ (0,13) |  13 | 0.996 | c51ce410c124a10e0db5e4b97fc2af39
+ (0,14) |  14 | 2.613 | aab3238922bcc25a6f606eb525ffdc56
+ (0,15) |  15 |  8.43 | 9bf31c7ff062936a96d3c8bd1f8f2ff3
+ (0,16) |  16 |  2.64 | c74d97b01eae257e44aa9d5bade97baf
+ (0,17) |  17 | 7.358 | 70efdf2ec9b086079795c442636b55fb
+ (0,18) |  18 | 1.535 | 6f4922f45568161a8cdf4ad2299f6d23
+ (0,19) |  19 | 5.218 | 1f0e3dad99908345f7439f8ffabdffc4
+ (0,20) |  20 | 7.869 | 98f13708210194c475687be6106a3b84
+ (0,21) |  21 | 1.498 | 3c59dc048e8850243be8079a5c74d079
+ (0,22) |  22 | 1.717 | b6d767d2f8ed5d21a44b0e5886680cb9
+ (0,23) |  23 | 9.137 | 37693cfc748049e45d87b8c7d8b9aacd
+ (0,24) |  24 | 6.755 | 1ff1de774005f8da13f42943881c655f
+ (0,25) |  25 | 7.485 | 8e296a067a37563370ded05f5a3bf3ec
+ (0,26) |  26 | 3.362 | 4e732ced3463d06de0ca9a15b6153677
+ (0,27) |  27 |  9.81 | 02e74f10e0327ad868d138f2b4fdd6f0
+ (0,28) |  28 | 0.117 | 33e75ff09dd601bbe69f351039152189
+ (0,29) |  29 | 5.164 | 6ea9ab1baa0efb9e19094440c317e21b
+ (0,30) |  30 | 1.124 | 34173cb38f07f89ddbebc2ac9128303f
+ (0,31) |  31 | 3.356 | c16a5320fa475530d9583c34fd356ef5
+ (0,32) |  32 |  7.89 | 6364d3f0f495b6ab9dcf8d3b5c6e0b01
+ (0,33) |  33 | 9.026 | 182be0c5cdcd5072bb1864cdee4d3d6e
+ (0,34) |  34 | 2.454 | e369853df766fa44e1ed0ff613f563bd
+ (0,35) |  35 | 8.377 | 1c383cd30b7c298ab50293adfecb7b18
+ (0,36) |  36 | 3.822 | 19ca14e7ea6328a42e0eb13d585e4c22
+ (0,37) |  37 | 4.284 | a5bfc9e07964f8dddeb95fc584cd965d
+ (0,38) |  38 | 4.004 | a5771bce93e200c36f7cd9dfd0e5deaa
+ (0,39) |  39 | 2.237 | d67d8ab4f4c10bf22aa353e27879133c
+ (0,40) |  40 | 9.594 | d645920e395fedad7bbbed0eca3fe2e0
+ (0,41) |  41 | 5.435 | 3416a75f4cea9109507cacd8e2f2aefc
+ (0,42) |  42 | 1.668 | a1d0c6e83f027327d8461063f4ac58a6
+ (0,43) |  43 | 6.172 | 17e62166fc8586dfa4d1bc0e1742c08b
+ (0,44) |  44 |  6.43 | f7177163c833dff4b38fc8d2872f1ec6
+ (0,45) |  45 |  4.28 | 6c8349cc7260ae62e3b1396831a8398f
+ (0,46) |  46 | 4.601 | d9d4f495e875a2e075a1a4a6e1b9770f
+ (0,47) |  47 |  9.07 | 67c6a1e7ce56d3d6fa748ab6d9af3fd7
+ (0,48) |  48 | 1.638 | 642e92efb79421734881b53e1e1b18b6
+ (0,49) |  49 | 6.136 | f457c545a9ded88f18ecee47145a72c0
+ (0,50) |  50 | 4.288 | c0c7c76d30bd3dcaefc96f40275bdc0a
+ (0,51) |  51 | 9.506 | 2838023a778dfaecdc212708f721b788
+ (0,52) |  52 | 7.633 | 9a1158154dfa42caddbd0694a4e9bdc8
+ (0,53) |  53 | 6.005 | d82c8d1619ad8176d665453cfb2e55f0
+ (0,54) |  54 | 8.643 | a684eceee76fc522773286a895bc8436
+ (0,55) |  55 | 4.387 | b53b3a3d6ab90ce0268229151c9bde11
+ (0,56) |  56 | 3.489 | 9f61408e3afb633e50cdf1b20de6f466
+ (0,57) |  57 | 2.005 | 72b32a1f754ba1c09b3695e0cb6cde7f
+ (0,58) |  58 | 4.196 | 66f041e16a60928b05a7e228a89c3799
+ (0,59) |  59 | 3.606 | 093f65e080a295f8076b1c5722a46aa2
+ (0,60) |  60 | 7.168 | 072b030ba126b2f4b2374f342be9ed44
+ (0,61) |  61 |  5.32 | 7f39f8317fbdb1988ef4c628eba02591
+ (0,62) |  62 | 6.961 | 44f683a84163b3523afe57c2e008bc8c
+ (0,63) |  63 | 5.058 | 03afdbd66e7929b125f8597834fa83a4
+ (0,64) |  64 | 4.345 | ea5d2f1c4608232e07d3aa3d998e5135
+ (0,65) |  65 | 9.415 | fc490ca45c00b1249bbe3554a4fdf6fb
+ (0,66) |  66 | 3.435 | 3295c76acbf4caaed33c36b1b5fc2cb1
+ (0,67) |  67 | 8.166 | 735b90b4568125ed6c3f678819b6e058
+ (0,68) |  68 | 3.698 | a3f390d88e4c41f2747bfa2f1b5f87db
+ (0,69) |  69 | 7.438 | 14bfa6bb14875e45bba028a21ed38046
+ (0,70) |  70 | 0.403 | 7cbbc409ec990f19c78c75bd1e06f215
+ (0,71) |  71 | 3.292 | e2c420d928d4bf8ce0ff2ec19b371514
+ (0,72) |  72 | 2.873 | 32bb90e8976aab5298d5da10fe66f21d
+ (0,73) |  73 |  2.07 | d2ddea18f00665ce8623e36bd4e3c7c5
+ (0,74) |  74 | 9.463 | ad61ab143223efbc24c7d2583be69251
+ (0,75) |  75 | 9.303 | d09bf41544a3365a46c9077ebb5e35c3
+ (0,76) |  76 |  6.35 | fbd7939d674997cdb4692d34de8633c4
+ (0,77) |  77 | 4.064 | 28dd2c7955ce926456240b2ff0100bde
+ (0,78) |  78 | 8.373 | 35f4a8d465e6e1edc05f3d8ab658c551
+ (0,79) |  79 | 7.987 | d1fe173d08e959397adf34b1d77e88d7
+ (0,80) |  80 | 0.199 | f033ab37c30201f73f142449d037028d
+ (0,81) |  81 |  2.66 | 43ec517d68b6edd3015b3edc9a11367b
+ (0,82) |  82 | 7.493 | 9778d5d219c5080b9a6a17bef029331c
+ (0,83) |  83 | 7.831 | fe9fc289c3ff0af142b6d3bead98a923
+ (0,84) |  84 | 8.664 | 68d30a9594728bc39aa24be94b319d21
+ (0,85) |  85 | 6.136 | 3ef815416f775098fe977004015c6193
+ (0,86) |  86 | 2.218 | 93db85ed909c13838ff95ccfa94cebd9
+ (0,87) |  87 | 2.152 | c7e1249ffc03eb9ded908c236bd1996d
+ (0,88) |  88 |  8.14 | 2a38a4a9316c49e5a833517c45d31070
+ (0,89) |  89 | 6.414 | 7647966b7343c29048673252e490f736
+ (0,90) |  90 | 5.757 | 8613985ec49eb8f757ae6439e879bb2a
+ (0,91) |  91 | 5.307 | 54229abfcfa5649e7003b83dd4755294
+ (0,92) |  92 | 1.733 | 92cc227532d17e56e07902b254dfad10
+ (0,93) |  93 | 2.718 | 98dce83da57b0395e163467c9dae521b
+ (0,94) |  94 | 0.365 | f4b9ec30ad9f68f89b29639786cb62ef
+ (0,95) |  95 | 6.077 | 812b4ba287f5ee0bc9d43bbf5bbe87fb
+ (0,96) |  96 | 2.132 | 26657d5ff9020d2abefe558796b99584
+ (0,97) |  97 | 3.799 | e2ef524fbf3d9fe611d5a8e90fefdc9c
+ (1,1)  |  98 | 4.243 | ed3d2c21991e3bef5e069713af9fa6ca
+ (1,2)  |  99 |  5.83 | ac627ab1ccbdb62ec96e702f07f6425b
+ (1,3)  | 100 | 1.237 | f899139df5e1059396431415e770c6dd
+ (1,4)  | 101 | 4.645 | 38b3eff8baf56627478ec76a704e9b52
+ (1,5)  | 102 | 9.121 | ec8956637a99787bd197eacd77acce5e
+ (1,6)  | 103 | 4.109 | 6974ce5ac660610b44d9b9fed0ff9548
+ (1,7)  | 104 | 6.715 | c9e1074f5b3f9fc8ea15d152add07294
+ (1,8)  | 105 | 8.583 | 65b9eea6e1cc6bb9f0cd2a47751a186f
+ (1,9)  | 106 | 3.412 | f0935e4cd5920aa6c7c996a5ee53a70f
+ (1,10) | 107 | 3.065 | a97da629b098b75c294dffdc3e463904
+ (1,11) | 108 | 2.646 | a3c65c2974270fd093ee8a9bf8ae7d0b
+ (1,12) | 109 | 1.784 | 2723d092b63885e0d7c260cc007e8b9d
+ (1,13) | 110 | 1.052 | 5f93f983524def3dca464469d2cf9f3e
+ (1,14) | 111 | 2.845 | 698d51a19d8a121ce581499d7b701668
+ (1,15) | 112 | 4.443 | 7f6ffaa6bb0b408017b62254211691b5
+ (1,16) | 113 | 8.544 | 73278a4a86960eeb576a8fd4c9ec6997
+ (1,17) | 114 | 0.675 | 5fd0b37cd7dbbb00f97ba6ce92bf5add
+ (1,18) | 115 | 3.107 | 2b44928ae11fb9384c4cf38708677c48
+ (1,19) | 116 |  4.68 | c45147dee729311ef5b5c3003946c48f
+ (1,20) | 117 | 2.893 | eb160de1de89d9058fcb0b968dbbbd68
+(117 rows)
+
+SELECT ctid,* FROM t1 WHERE ctid > '(10,0)'::tid;
+  ctid   |  a   |   b   |                c                 
+---------+------+-------+----------------------------------
+ (10,1)  |  971 | 3.963 | 6602294be910b1e3c4571bd98c4d5484
+ (10,2)  |  972 | 7.836 | c22abfa379f38b5b0411bc11fa9bf92f
+ (10,3)  |  973 | 2.017 | ca75910166da03ff9d4655a0338e6b09
+ (10,4)  |  974 | 3.717 | 4311359ed4969e8401880e3c1836fbe1
+ (10,5)  |  975 |   6.5 | 92977ae4d2ba21425a59afb269c2a14e
+ (10,6)  |  976 | 2.317 | 9c01802ddb981e6bcfbec0f0516b8e35
+ (10,7)  |  977 | 0.112 | cc1aa436277138f61cda703991069eaf
+ (10,8)  |  978 | 8.832 | 2ab56412b1163ee131e1246da0955bd1
+ (10,9)  |  979 | 4.022 | c32d9bf27a3da7ec8163957080c8628e
+ (10,10) |  980 | 6.216 | d79aac075930c83c2f1e369a511148fe
+ (10,11) |  981 | 2.501 | 287e03db1d99e0ec2edb90d079e142f3
+ (10,12) |  982 |  1.32 | fec8d47d412bcbeece3d9128ae855a7a
+ (10,13) |  983 | 7.567 | 6aab1270668d8cac7cef2566a1c5f569
+ (10,14) |  984 | 7.962 | d93ed5b6db83be78efb0d05ae420158e
+ (10,15) |  985 | 6.823 | 54a367d629152b720749e187b3eaa11b
+ (10,16) |  986 |  5.97 | fe7ee8fc1959cc7214fa21c4840dff0a
+ (10,17) |  987 | 1.539 | df6d2338b2b8fce1ec2f6dda0a630eb0
+ (10,18) |  988 | 5.619 | 9908279ebbf1f9b250ba689db6a0222b
+ (10,19) |  989 | 7.603 | a1140a3d0df1c81e24ae954d935e8926
+ (10,20) |  990 | 8.716 | 4fac9ba115140ac4f1c22da82aa0bc7f
+ (10,21) |  991 | 2.868 | 692f93be8c7a41525c0baf2076aecfb4
+ (10,22) |  992 | 7.804 | 860320be12a1c050cd7731794e231bd3
+ (10,23) |  993 | 9.428 | 7b13b2203029ed80337f27127a9f1d28
+ (10,24) |  994 | 7.015 | 934815ad542a4a7c5e8a2dfa04fea9f5
+ (10,25) |  995 | 2.438 | 2bcab9d935d219641434683dd9d18a03
+ (10,26) |  996 |  7.22 | 0b8aff0438617c055eb55f0ba5d226fa
+ (10,27) |  997 | 5.012 | ec5aa0b7846082a2415f0902f0da88f2
+ (10,28) |  998 | 2.945 | 9ab0d88431732957a618d4a469a0d4c3
+ (10,29) |  999 | 2.569 | b706835de79a2b4e80506f582af3676a
+ (10,30) | 1000 | 2.776 | a9b7ba70783b617e9998dc4dd82eb3c5
+(30 rows)
+
+SELECT ctid,* FROM t1 WHERE c like '%678%' AND ctid >= '(3,50)'::tid;
+  ctid  |  a  |   b   |                c                 
+--------+-----+-------+----------------------------------
+ (6,78) | 660 | 2.946 | 68264bdb65b97eeae6788aa3348e553c
+ (7,43) | 722 | 1.612 | c8ed21db4f678f3b13b9d5ee16489088
+ (8,36) | 812 | 3.673 | 81e74d678581a3bb7a720b019f4f1a93
+ (9,97) | 970 | 7.977 | 89fcd07f20b6785b92134bd6c1d0fa42
+(4 rows)
+
+SELECT ctid,* FROM t1 WHERE ctid BETWEEN '(2,115)'::tid AND '(3,10)'::tid;
+  ctid  |  a  |   b   |                c                 
+--------+-----+-------+----------------------------------
+ (3,1)  | 292 |  3.11 | 1700002963a49da13542e0726b7bb758
+ (3,2)  | 293 | 4.932 | 53c3bce66e43be4f209556518c2fcb54
+ (3,3)  | 294 | 3.851 | 6883966fd8f918a4aa29be29d2c386fb
+ (3,4)  | 295 | 9.821 | 49182f81e6a13cf5eaa496d51fea6406
+ (3,5)  | 296 | 1.623 | d296c101daa88a51f6ca8cfc1ac79b50
+ (3,6)  | 297 | 9.248 | 9fd81843ad7f202f26c1a174c7357585
+ (3,7)  | 298 | 8.073 | 26e359e83860db1d11b6acca57d8ea88
+ (3,8)  | 299 | 5.224 | ef0d3930a7b6c95bd2b32ed45989c61f
+ (3,9)  | 300 | 4.252 | 94f6d7e04a4d452035300f18b984988c
+ (3,10) | 301 | 4.599 | 34ed066df378efacc9b924ec161e7639
+(10 rows)
+
+SELECT t1.ctid,* FROM t1 NATURAL JOIN t3 WHERE t3.ctid IN (
+  SELECT t3.ctid FROM t2 NATURAL JOIN t3
+    WHERE t2.ctid BETWEEN '(4,0)'::tid AND '(5,0)'::tid);
+  ctid   |  a   |   b   |                c                 |  x  
+---------+------+-------+----------------------------------+-----
+ (5,43)  |  528 | 6.581 | f4be00279ee2e0a53eafdaa94a151e2c | 646
+ (4,67)  |  455 | 4.602 | 821fa74b50ba3f7cba1e6c53e8fa6845 | 682
+ (4,96)  |  484 |  5.29 | eba0dc302bcd9a273f8bbb72be3a687b | 632
+ (3,82)  |  373 | 4.013 | ffd52f3c7e12435a724a8f30fddadd9c | 647
+ (0,95)  |   95 | 6.077 | 812b4ba287f5ee0bc9d43bbf5bbe87fb | 625
+ (2,48)  |  242 | 5.099 | e4a6222cdb5b34375400904f03d8e6a5 | 600
+ (0,79)  |   79 | 7.987 | d1fe173d08e959397adf34b1d77e88d7 | 685
+ (9,91)  |  964 | 4.635 | 8065d07da4a77621450aa84fee5656d9 | 659
+ (4,68)  |  456 | 7.784 | 250cf8b51c773f3f8dc8b4be867a9a02 | 606
+ (3,7)   |  298 | 8.073 | 26e359e83860db1d11b6acca57d8ea88 | 630
+ (3,95)  |  386 | 8.354 | 39461a19e9eddfb385ea76b26521ea48 | 653
+ (4,36)  |  424 | 2.163 | 3c7781a36bcd6cf08c11a970fbe0e2a6 | 682
+ (3,53)  |  344 | 6.972 | b3967a0e938dc2a6340e258630febd5a | 598
+ (5,90)  |  575 | 5.791 | ffeabd223de0d4eacb9a3e6e53e5448d | 647
+ (5,70)  |  555 | 7.829 | 15de21c670ae7c3f6f3f1f37029303c9 | 675
+ (8,39)  |  815 | 9.544 | 71ad16ad2c4d81f348082ff6c4b20768 | 679
+ (2,81)  |  275 | 0.633 | 63923f49e5241343aa7acb6a06a751e7 | 665
+ (9,79)  |  952 | 1.352 | e6cb2a3c14431b55aa50c06529eaa21b | 674
+ (2,71)  |  265 | 6.691 | e56954b4f6347e897f954495eab16a88 | 645
+ (2,78)  |  272 |   7.8 | 7a614fd06c325499f1680b9896beedeb | 676
+ (8,92)  |  868 | 9.159 | dd45045f8c68db9f54e70c67048d32e8 | 660
+ (5,61)  |  546 | 8.622 | ed265bc903a5a097f61d3ec064d96d2e | 677
+ (6,53)  |  635 | 1.307 | 6a10bbd480e4c5573d8f3af73ae0454b | 678
+ (7,7)   |  686 | 9.864 | 109a0ca3bc27f3e96597370d5c8cf03d | 675
+ (0,30)  |   30 | 1.124 | 34173cb38f07f89ddbebc2ac9128303f | 684
+ (2,80)  |  274 | 3.661 | d947bf06a885db0d477d707121934ff8 | 660
+ (9,57)  |  930 | 8.568 | 1cc3633c579a90cfdd895e64021e2163 | 676
+ (5,59)  |  544 | 1.784 | 97e8527feaf77a97fc38f34216141515 | 628
+ (5,34)  |  519 | 8.643 | 63538fe6ef330c13a05a3ed7e599d5f7 | 644
+ (0,41)  |   41 | 5.435 | 3416a75f4cea9109507cacd8e2f2aefc | 616
+ (6,9)   |  591 |  4.95 | 3493894fa4ea036cfc6433c3e2ee63b0 | 624
+ (5,68)  |  553 | 3.933 | f387624df552cea2f369918c5e1e12bc | 656
+ (6,13)  |  595 | 4.497 | 04ecb1fa28506ccb6f72b12c0245ddbc | 640
+ (5,92)  |  577 | 0.858 | fde9264cf376fffe2ee4ddf4a988880d | 595
+ (8,96)  |  872 | 3.613 | 43feaeeecd7b2fe2ae2e26d917b6477d | 675
+ (0,14)  |   14 | 2.613 | aab3238922bcc25a6f606eb525ffdc56 | 627
+ (6,13)  |  595 | 4.497 | 04ecb1fa28506ccb6f72b12c0245ddbc | 675
+ (7,44)  |  723 |  7.51 | 08419be897405321542838d77f855226 | 601
+ (7,12)  |  691 | 1.983 | 10a5ab2db37feedfdeaab192ead4ac0e | 633
+ (9,66)  |  939 |  7.47 | 3df1d4b96d8976ff5986393e8767f5b2 | 601
+ (5,65)  |  550 | 1.335 | 01f78be6f7cad02658508fe4616098a9 | 674
+ (10,13) |  983 | 7.567 | 6aab1270668d8cac7cef2566a1c5f569 | 640
+ (4,69)  |  457 | 6.687 | 42998cf32d552343bc8e460416382dca | 655
+ (6,46)  |  628 |   4.6 | 42e77b63637ab381e8be5f8318cc28a2 | 596
+ (9,95)  |  968 | 5.349 | 8f468c873a32bb0619eaeb2050ba45d1 | 634
+ (6,36)  |  618 | 4.784 | eb6fdc36b281b7d5eabf33396c2683a2 | 597
+ (1,92)  |  189 | 3.371 | a2557a7b2e94197ff767970b67041697 | 645
+ (10,23) |  993 | 9.428 | 7b13b2203029ed80337f27127a9f1d28 | 670
+ (7,62)  |  741 | 9.252 | 2e65f2f2fdaf6c699b223c61b1b5ab89 | 609
+ (0,8)   |    8 | 8.416 | c9f0f895fb98ab9159f51fd0297e236d | 636
+ (8,33)  |  809 | 6.587 | 32b30a250abd6331e03a2a1f16466346 | 624
+ (9,76)  |  949 | 6.105 | 3cef96dcc9b8035d23f69e30bb19218a | 656
+ (9,50)  |  923 | 8.205 | c4015b7f368e6b4871809f49debe0579 | 685
+ (7,11)  |  690 | 1.344 | c06d06da9666a219db15cf575aff2824 | 664
+ (9,68)  |  941 | 0.072 | 92262bf907af914b95a0fc33c3f33bf6 | 638
+ (3,46)  |  337 | 3.233 | 357a6fdf7642bf815a88822c447d9dc4 | 657
+ (1,53)  |  150 | 2.874 | 7ef605fc8dba5425d6965fbd4c8fbe1f | 684
+ (0,24)  |   24 | 6.755 | 1ff1de774005f8da13f42943881c655f | 626
+ (8,76)  |  852 | 4.716 | 22ac3c5a5bf0b520d281c122d1490650 | 593
+ (2,91)  |  285 | 1.867 | 0e01938fc48a2cfb5f2217fbfb00722d | 603
+ (0,68)  |   68 | 3.698 | a3f390d88e4c41f2747bfa2f1b5f87db | 659
+ (5,89)  |  574 | 2.237 | f0e52b27a7a5d6a1a87373dffa53dbe5 | 657
+ (8,6)   |  782 | 0.276 | 72da7fd6d1302c0a159f6436d01e9eb0 | 625
+ (9,89)  |  962 | 0.712 | 5c936263f3428a40227908d5a3847c0b | 660
+ (3,44)  |  335 | 5.056 | f9b902fc3289af4dd08de5d1de54f68f | 600
+ (7,86)  |  765 | 2.005 | d840cc5d906c3e9c84374c8919d2074e | 679
+ (7,28)  |  707 | 9.357 | 500e75a036dc2d7d2fec5da1b71d36cc | 624
+ (1,90)  |  187 | 7.392 | 31fefc0e570cb3860f2a6d4b38c6490d | 604
+ (9,60)  |  933 | 4.434 | 043c3d7e489c69b48737cc0c92d0f3a2 | 658
+ (8,40)  |  816 | 0.334 | 43fa7f58b7eac7ac872209342e62e8f1 | 613
+ (3,66)  |  357 | 7.196 | fb7b9ffa5462084c5f4e7e85a093e6d7 | 675
+ (2,6)   |  200 | 9.843 | 3644a684f98ea8fe223c713b77189a77 | 630
+ (5,29)  |  514 |     2 | 59b90e1005a220e2ebc542eb9d950b1e | 662
+ (0,35)  |   35 | 8.377 | 1c383cd30b7c298ab50293adfecb7b18 | 617
+ (5,8)   |  493 | 9.349 | 2f55707d4193dc27118a0f19a1985716 | 678
+ (9,76)  |  949 | 6.105 | 3cef96dcc9b8035d23f69e30bb19218a | 613
+ (7,58)  |  737 |  0.95 | a5cdd4aa0048b187f7182f1b9ce7a6a7 | 671
+ (3,28)  |  319 | 7.195 | 8d3bba7425e7c98c50f52ca1b52d3735 | 627
+ (0,85)  |   85 | 6.136 | 3ef815416f775098fe977004015c6193 | 598
+ (9,26)  |  899 | 5.338 | 01882513d5fa7c329e940dda99b12147 | 623
+ (2,45)  |  239 | 8.274 | 555d6702c950ecb729a966504af0a635 | 609
+ (4,34)  |  422 | 1.542 | f85454e8279be180185cac7d243c5eb3 | 618
+ (2,36)  |  230 | 1.073 | 6da9003b743b65f4c0ccd295cc484e57 | 646
+ (8,46)  |  822 | 5.911 | afda332245e2af431fb7b672a68b659d | 668
+ (9,53)  |  926 | 3.294 | cbb6a3b884f4f88b3a8e3d44c636cbd8 | 611
+ (8,13)  |  789 | 3.511 | 68053af2923e00204c3ca7c6a3150cf7 | 668
+ (3,60)  |  351 | 4.695 | efe937780e95574250dabe07151bdc23 | 596
+ (9,56)  |  929 | 8.454 | 0d0871f0806eae32d30983b62252da50 | 620
+ (8,48)  |  824 | 0.742 | 677e09724f0e2df9b6c000b75b5da10d | 679
+ (0,21)  |   21 | 1.498 | 3c59dc048e8850243be8079a5c74d079 | 607
+ (2,36)  |  230 | 1.073 | 6da9003b743b65f4c0ccd295cc484e57 | 658
+ (3,12)  |  303 | 2.051 | 11b9842e0a271ff252c1903e7132cd68 | 640
+ (8,38)  |  814 | 5.229 | 96b9bff013acedfb1d140579e2fbeb63 | 659
+ (10,28) |  998 | 2.945 | 9ab0d88431732957a618d4a469a0d4c3 | 619
+ (7,81)  |  760 |  4.54 | 2ca65f58e35d9ad45bf7f3ae5cfd08f1 | 671
+ (0,5)   |    5 | 4.796 | e4da3b7fbbce2345d7772b0674a318d5 | 593
+ (6,81)  |  663 | 2.433 | 8757150decbd89b0f5442ca3db4d0e0e | 646
+ (3,2)   |  293 | 4.932 | 53c3bce66e43be4f209556518c2fcb54 | 682
+ (7,69)  |  748 | 0.086 | e49b8b4053df9505e1f48c3a701c0682 | 617
+ (3,47)  |  338 | 1.571 | 819f46e52c25763a55cc642422644317 | 617
+ (8,71)  |  847 | 3.652 | f4552671f8909587cf485ea990207f3b | 637
+ (1,40)  |  137 | 1.045 | 3988c7f88ebcb58c6ce932b957b6f332 | 600
+ (8,56)  |  832 | 3.089 | 7250eb93b3c18cc9daa29cf58af7a004 | 606
+ (0,50)  |   50 | 4.288 | c0c7c76d30bd3dcaefc96f40275bdc0a | 601
+ (8,25)  |  801 | 2.903 | 1905aedab9bf2477edc068a355bba31a | 642
+ (0,87)  |   87 | 2.152 | c7e1249ffc03eb9ded908c236bd1996d | 631
+ (8,61)  |  837 | 4.784 | b0b183c207f46f0cca7dc63b2604f5cc | 669
+ (0,73)  |   73 |  2.07 | d2ddea18f00665ce8623e36bd4e3c7c5 | 663
+ (9,61)  |  934 | 7.081 | 4daa3db355ef2b0e64b472968cb70f0d | 684
+ (3,79)  |  370 | 8.387 | d709f38ef758b5066ef31b18039b8ce5 | 674
+ (10,4)  |  974 | 3.717 | 4311359ed4969e8401880e3c1836fbe1 | 670
+ (5,83)  |  568 | 8.956 | dd458505749b2941217ddd59394240e8 | 683
+ (9,50)  |  923 | 8.205 | c4015b7f368e6b4871809f49debe0579 | 663
+ (8,79)  |  855 | 5.458 | addfa9b7e234254d26e9c7f2af1005cb | 628
+ (1,41)  |  138 | 5.781 | 013d407166ec4fa56eb1e1f8cbe183b9 | 669
+ (7,3)   |  682 | 8.117 | 08d98638c6fcd194a4b1e6992063e944 | 610
+ (10,3)  |  973 | 2.017 | ca75910166da03ff9d4655a0338e6b09 | 640
+ (9,58)  |  931 | 3.535 | 9f53d83ec0691550f7d2507d57f4f5a2 | 634
+ (1,42)  |  139 | 2.042 | e00da03b685a0dd18fb6a08af0923de0 | 618
+ (3,16)  |  307 | 6.515 | 8e98d81f8217304975ccb23337bb5761 | 631
+ (3,9)   |  300 | 4.252 | 94f6d7e04a4d452035300f18b984988c | 653
+ (3,86)  |  377 | 9.915 | d34ab169b70c9dcd35e62896010cd9ff | 599
+ (8,37)  |  813 | 4.154 | e0cf1f47118daebc5b16269099ad7347 | 627
+ (3,29)  |  320 | 3.232 | 320722549d1751cf3f247855f937b982 | 657
+ (6,31)  |  613 | 9.934 | f29c21d4897f78948b91f03172341b7b | 640
+ (9,51)  |  924 | 7.052 | bea5955b308361a1b07bc55042e25e54 | 649
+ (2,38)  |  232 | 2.033 | be83ab3ecd0db773eb2dc1b0a17836a1 | 659
+ (7,84)  |  763 | 6.188 | eefc9e10ebdc4a2333b42b2dbb8f27b6 | 669
+ (6,91)  |  673 | 2.212 | 9f396fe44e7c05c16873b05ec425cbad | 596
+ (1,17)  |  114 | 0.675 | 5fd0b37cd7dbbb00f97ba6ce92bf5add | 673
+ (7,58)  |  737 |  0.95 | a5cdd4aa0048b187f7182f1b9ce7a6a7 | 635
+ (10,30) | 1000 | 2.776 | a9b7ba70783b617e9998dc4dd82eb3c5 | 674
+ (9,40)  |  913 | 8.593 | 8b5040a8a5baf3e0e67386c2e3a9b903 | 654
+ (0,35)  |   35 | 8.377 | 1c383cd30b7c298ab50293adfecb7b18 | 597
+ (2,48)  |  242 | 5.099 | e4a6222cdb5b34375400904f03d8e6a5 | 671
+ (5,75)  |  560 | 6.777 | a9a6653e48976138166de32772b1bf40 | 623
+ (1,23)  |  120 | 9.306 | da4fb5c6e93e74d3df8527599fa62642 | 637
+ (6,90)  |  672 | 0.675 | 2dea61eed4bceec564a00115c4d21334 | 608
+ (4,42)  |  430 | 4.709 | f74909ace68e51891440e4da0b65a70c | 667
+ (10,1)  |  971 | 3.963 | 6602294be910b1e3c4571bd98c4d5484 | 683
+ (2,57)  |  251 | 3.423 | 19f3cd308f1455b3fa09a282e0d496f4 | 641
+ (2,66)  |  260 | 7.864 | a4f23670e1833f3fdb077ca70bbd5d66 | 677
+ (7,32)  |  711 | 1.699 | 6081594975a764c8e3a691fa2b3a321d | 682
+ (8,2)   |  778 | 9.912 | e07413354875be01a996dc560274708e | 607
+ (7,89)  |  768 | 2.954 | 3a835d3215755c435ef4fe9965a3f2a0 | 644
+ (9,50)  |  923 | 8.205 | c4015b7f368e6b4871809f49debe0579 | 625
+ (6,31)  |  613 | 9.934 | f29c21d4897f78948b91f03172341b7b | 633
+ (8,95)  |  871 |  0.53 | aeb3135b436aa55373822c010763dd54 | 636
+ (0,64)  |   64 | 4.345 | ea5d2f1c4608232e07d3aa3d998e5135 | 652
+ (8,82)  |  858 | 9.043 | a67f096809415ca1c9f112d96d27689b | 660
+ (4,42)  |  430 | 4.709 | f74909ace68e51891440e4da0b65a70c | 657
+ (4,84)  |  472 | 2.045 | ef575e8837d065a1683c022d2077d342 | 672
+ (4,79)  |  467 | 7.696 | ab817c9349cf9c4f6877e1894a1faa00 | 612
+ (4,63)  |  451 | 9.186 | 941e1aaaba585b952b62c14a3a175a61 | 618
+ (2,71)  |  265 | 6.691 | e56954b4f6347e897f954495eab16a88 | 653
+ (7,12)  |  691 | 1.983 | 10a5ab2db37feedfdeaab192ead4ac0e | 598
+ (6,4)   |  586 | 0.092 | 605ff764c617d3cd28dbbdd72be8f9a2 | 661
+ (1,28)  |  125 |  8.49 | 3def184ad8f4755ff269862ea77393dd | 637
+ (2,94)  |  288 | 6.092 | 48aedb8880cab8c45637abc7493ecddd | 676
+ (8,40)  |  816 | 0.334 | 43fa7f58b7eac7ac872209342e62e8f1 | 605
+ (0,38)  |   38 | 4.004 | a5771bce93e200c36f7cd9dfd0e5deaa | 662
+ (2,16)  |  210 | 3.191 | 6f3ef77ac0e3619e98159e9b6febf557 | 645
+ (3,51)  |  342 | 5.627 | 58238e9ae2dd305d79c2ebc8c1883422 | 635
+ (0,64)  |   64 | 4.345 | ea5d2f1c4608232e07d3aa3d998e5135 | 644
+ (2,31)  |  225 | 8.138 | d1c38a09acc34845c6be3a127a5aacaf | 630
+ (0,65)  |   65 | 9.415 | fc490ca45c00b1249bbe3554a4fdf6fb | 612
+ (6,37)  |  619 | 0.825 | cdc0d6e63aa8e41c89689f54970bb35f | 638
+ (0,6)   |    6 |  1.83 | 1679091c5a880faf6fb5e6087eb1b2dc | 661
+ (1,13)  |  110 | 1.052 | 5f93f983524def3dca464469d2cf9f3e | 608
+ (3,74)  |  365 |  4.71 | 9be40cee5b0eee1462c82c6964087ff9 | 591
+ (5,47)  |  532 | 1.293 | 298f95e1bf9136124592c8d4825a06fc | 649
+ (0,39)  |   39 | 2.237 | d67d8ab4f4c10bf22aa353e27879133c | 676
+ (2,69)  |  263 | 9.896 | 8c19f571e251e61cb8dd3612f26d5ecf | 652
+ (8,33)  |  809 | 6.587 | 32b30a250abd6331e03a2a1f16466346 | 608
+ (8,47)  |  823 | 2.887 | 632cee946db83e7a52ce5e8d6f0fed35 | 592
+ (8,62)  |  838 | 5.287 | f9028faec74be6ec9b852b0a542e2f39 | 620
+ (2,12)  |  206 | 2.416 | 7eabe3a1649ffa2b3ff8c02ebfd5659f | 627
+ (0,10)  |   10 | 1.431 | d3d9446802a44259755d38e6d163e820 | 655
+ (7,15)  |  694 | 4.415 | 5487315b1286f907165907aa8fc96619 | 600
+ (0,39)  |   39 | 2.237 | d67d8ab4f4c10bf22aa353e27879133c | 646
+ (7,63)  |  742 | 8.773 | e94550c93cd70fe748e6982b3439ad3b | 624
+ (8,57)  |  833 | 4.053 | 013a006f03dbc5392effeb8f18fda755 | 670
+ (6,34)  |  616 | 2.651 | 7750ca3559e5b8e1f44210283368fc16 | 617
+ (4,74)  |  462 | 3.655 | 51d92be1c60d1db1d2e5e7a07da55b26 | 606
+ (7,46)  |  725 | 6.027 | 82f2b308c3b01637c607ce05f52a2fed | 684
+ (0,88)  |   88 |  8.14 | 2a38a4a9316c49e5a833517c45d31070 | 594
+ (3,73)  |  364 | 5.908 | bac9162b47c56fc8a4d2a519803d51b3 | 646
+ (2,48)  |  242 | 5.099 | e4a6222cdb5b34375400904f03d8e6a5 | 637
+ (2,30)  |  224 | 2.281 | 13fe9d84310e77f13a6d184dbf1232f3 | 615
+ (6,18)  |  600 |  7.89 | d490d7b4576290fa60eb31b5fc917ad1 | 612
+ (7,32)  |  711 | 1.699 | 6081594975a764c8e3a691fa2b3a321d | 651
+ (10,15) |  985 | 6.823 | 54a367d629152b720749e187b3eaa11b | 609
+ (7,65)  |  744 | 6.956 | 0537fb40a68c18da59a35c2bfe1ca554 | 605
+ (6,22)  |  604 |  1.82 | 9cf81d8026a9018052c429cc4e56739b | 608
+ (0,26)  |   26 | 3.362 | 4e732ced3463d06de0ca9a15b6153677 | 649
+ (3,89)  |  380 | 5.038 | bca82e41ee7b0833588399b1fcd177c7 | 631
+ (7,39)  |  718 | 1.134 | 50c3d7614917b24303ee6a220679dab3 | 668
+ (0,30)  |   30 | 1.124 | 34173cb38f07f89ddbebc2ac9128303f | 669
+ (7,51)  |  730 | 7.128 | d5cfead94f5350c12c322b5b664544c1 | 592
+ (5,56)  |  541 | 1.924 | 16c222aa19898e5058938167c8ab6c57 | 605
+ (8,20)  |  796 | 2.844 | 35cf8659cfcb13224cbd47863a34fc58 | 600
+ (0,22)  |   22 | 1.717 | b6d767d2f8ed5d21a44b0e5886680cb9 | 654
+ (2,78)  |  272 |   7.8 | 7a614fd06c325499f1680b9896beedeb | 643
+ (8,23)  |  799 | 5.797 | 28267ab848bcf807b2ed53c3a8f8fc8a | 658
+ (10,11) |  981 | 2.501 | 287e03db1d99e0ec2edb90d079e142f3 | 615
+ (2,75)  |  269 | 5.004 | 06138bc5af6023646ede0e1f7c1eac75 | 642
+ (2,57)  |  251 | 3.423 | 19f3cd308f1455b3fa09a282e0d496f4 | 616
+ (1,22)  |  119 | 2.819 | 07e1cd7dca89a1678042477183b7ac3f | 607
+ (9,8)   |  881 | 0.085 | 7504adad8bb96320eb3afdd4df6e1f60 | 607
+ (3,27)  |  318 | 9.977 | 432aca3a1e345e339f35a30c8f65edce | 648
+ (9,23)  |  896 | 6.179 | 061412e4a03c02f9902576ec55ebbe77 | 652
+ (0,55)  |   55 | 4.387 | b53b3a3d6ab90ce0268229151c9bde11 | 641
+ (9,45)  |  918 |  9.71 | 1e056d2b0ebd5c878c550da6ac5d3724 | 601
+ (5,90)  |  575 | 5.791 | ffeabd223de0d4eacb9a3e6e53e5448d | 612
+ (8,55)  |  831 | 3.798 | e0ec453e28e061cc58ac43f91dc2f3f0 | 637
+ (0,31)  |   31 | 3.356 | c16a5320fa475530d9583c34fd356ef5 | 609
+ (6,3)   |  585 | 2.718 | a9a1d5317a33ae8cef33961c34144f84 | 613
+ (2,47)  |  241 | 2.797 | f340f1b1f65b6df5b5e3f94d95b11daf | 671
+ (5,88)  |  573 | 9.128 | e5f6ad6ce374177eef023bf5d0c018b6 | 628
+ (0,95)  |   95 | 6.077 | 812b4ba287f5ee0bc9d43bbf5bbe87fb | 625
+ (3,22)  |  313 | 9.237 | 158f3069a435b314a80bdcb024f8e422 | 636
+ (5,4)   |  489 | 5.183 | 854d9fca60b4bd07f9bb215d59ef5561 | 596
+ (5,54)  |  539 | 6.363 | 5737034557ef5b8c02c0e46513b98f90 | 657
+ (6,12)  |  594 |  3.02 | 076a0c97d09cf1a0ec3e19c7f2529f2b | 647
+ (2,72)  |  266 | 5.398 | f7664060cc52bc6f3d620bcedc94a4b6 | 602
+ (7,24)  |  703 | 8.668 | d6c651ddcd97183b2e40bc464231c962 | 621
+ (3,81)  |  372 | 4.623 | 24b16fede9a67c9251d3e7c7161c83ac | 615
+ (0,35)  |   35 | 8.377 | 1c383cd30b7c298ab50293adfecb7b18 | 644
+ (2,24)  |  218 | 8.642 | e96ed478dab8595a7dbda4cbcbee168f | 604
+ (0,8)   |    8 | 8.416 | c9f0f895fb98ab9159f51fd0297e236d | 671
+ (3,21)  |  312 | 6.709 | 950a4152c2b4aa3ad78bdd6b366cc179 | 643
+ (8,49)  |  825 | 2.157 | d554f7bb7be44a7267068a7df88ddd20 | 676
+ (3,49)  |  340 | 5.059 | 40008b9a5380fcacce3976bf7c08af5b | 653
+ (6,56)  |  638 | 6.102 | 4c27cea8526af8cfee3be5e183ac9605 | 617
+ (4,37)  |  425 | 5.531 | 25b2822c2f5a3230abfadd476e8b04c9 | 621
+ (0,43)  |   43 | 6.172 | 17e62166fc8586dfa4d1bc0e1742c08b | 634
+ (8,47)  |  823 | 2.887 | 632cee946db83e7a52ce5e8d6f0fed35 | 619
+ (6,89)  |  671 | 0.604 | 5dd9db5e033da9c6fb5ba83c7a7ebea9 | 639
+ (4,92)  |  480 | 4.075 | 6ea2ef7311b482724a9b7b0bc0dd85c6 | 620
+ (3,92)  |  383 | 2.874 | beed13602b9b0e6ecb5b568ff5058f07 | 633
+ (2,95)  |  289 | 5.666 | 839ab46820b524afda05122893c2fe8e | 629
+ (7,62)  |  741 | 9.252 | 2e65f2f2fdaf6c699b223c61b1b5ab89 | 654
+ (2,45)  |  239 | 8.274 | 555d6702c950ecb729a966504af0a635 | 629
+ (4,72)  |  460 | 6.222 | 98b297950041a42470269d56260243a1 | 672
+ (6,32)  |  614 | 0.956 | 851ddf5058cf22df63d3344ad89919cf | 677
+ (2,77)  |  271 | 6.958 | 7f100b7b36092fb9b06dfb4fac360931 | 679
+ (8,60)  |  836 | 7.597 | ab88b15733f543179858600245108dd8 | 643
+ (7,4)   |  683 | 4.026 | 24681928425f5a9133504de568f5f6df | 639
+ (4,21)  |  409 | 2.081 | a96b65a721e561e1e3de768ac819ffbb | 649
+ (1,86)  |  183 | 6.743 | cedebb6e872f539bef8c3f919874e9d7 | 605
+ (7,35)  |  714 | 5.725 | d14220ee66aeec73c49038385428ec4c | 618
+ (4,37)  |  425 | 5.531 | 25b2822c2f5a3230abfadd476e8b04c9 | 656
+ (8,8)   |  784 | 5.872 | fc8001f834f6a5f0561080d134d53d29 | 669
+ (2,73)  |  267 | 8.253 | eda80a3d5b344bc40f3bc04f65b7a357 | 615
+ (8,75)  |  851 | 3.901 | 92fb0c6d1758261f10d052e6e2c1123c | 607
+ (0,45)  |   45 |  4.28 | 6c8349cc7260ae62e3b1396831a8398f | 670
+ (2,50)  |  244 | 2.833 | 9188905e74c28e489b44e954ec0b9bca | 637
+ (6,18)  |  600 |  7.89 | d490d7b4576290fa60eb31b5fc917ad1 | 664
+ (0,55)  |   55 | 4.387 | b53b3a3d6ab90ce0268229151c9bde11 | 607
+ (3,34)  |  325 | 4.999 | 89f0fd5c927d466d6ec9a21b9ac34ffa | 641
+ (8,52)  |  828 | 4.898 | c2626d850c80ea07e7511bbae4c76f4b | 622
+ (7,93)  |  772 | 5.411 | e57c6b956a6521b28495f2886ca0977a | 685
+ (8,19)  |  795 | 2.923 | 7c590f01490190db0ed02a5070e20f01 | 671
+ (0,84)  |   84 | 8.664 | 68d30a9594728bc39aa24be94b319d21 | 604
+ (3,26)  |  317 | 7.566 | 5b8add2a5d98b1a652ea7fd72d942dac | 604
+ (8,3)   |  779 | 1.881 | 67d96d458abdef21792e6d8e590244e7 | 636
+ (5,52)  |  537 | 2.986 | 5ea1649a31336092c05438df996a3e59 | 655
+ (0,73)  |   73 |  2.07 | d2ddea18f00665ce8623e36bd4e3c7c5 | 595
+ (5,59)  |  544 | 1.784 | 97e8527feaf77a97fc38f34216141515 | 645
+ (2,92)  |  286 | 9.295 | 16a5cdae362b8d27a1d8f8c7b78b4330 | 614
+ (7,6)   |  685 | 2.887 | 3328bdf9a4b9504b9398284244fe97c2 | 594
+ (5,41)  |  526 |  7.94 | 85422afb467e9456013a2a51d4dff702 | 606
+ (0,29)  |   29 | 5.164 | 6ea9ab1baa0efb9e19094440c317e21b | 640
+ (6,92)  |  674 | 4.837 | 0d7de1aca9299fe63f3e0041f02638a3 | 632
+ (2,87)  |  281 | 4.883 | e3796ae838835da0b6f6ea37bcf8bcb7 | 652
+ (6,70)  |  652 | 6.461 | 30ef30b64204a3088a26bc2e6ecf7602 | 609
+ (2,74)  |  268 | 3.602 | 8f121ce07d74717e0b1f21d122e04521 | 631
+ (8,25)  |  801 | 2.903 | 1905aedab9bf2477edc068a355bba31a | 636
+ (5,85)  |  570 | 7.279 | a86c450b76fb8c371afead6410d55534 | 653
+ (5,30)  |  515 | 6.417 | 2b8a61594b1f4c4db0902a8a395ced93 | 647
+ (2,33)  |  227 | 9.687 | 705f2172834666788607efbfca35afb3 | 666
+ (4,88)  |  476 | 1.154 | 598b3e71ec378bd83e0a727608b5db01 | 649
+ (8,85)  |  861 | 8.424 | f9a40a4780f5e1306c46f1c8daecee3b | 637
+ (9,75)  |  948 | 1.705 | 58e4d44e550d0f7ee0a23d6b02d9b0db | 605
+ (9,13)  |  886 | 5.146 | 704afe073992cbe4813cae2f7715336f | 638
+ (3,60)  |  351 | 4.695 | efe937780e95574250dabe07151bdc23 | 607
+ (2,62)  |  256 | 9.927 | f718499c1c8cef6730f9fd03c8125cab | 675
+ (10,6)  |  976 | 2.317 | 9c01802ddb981e6bcfbec0f0516b8e35 | 664
+ (7,55)  |  734 |  0.84 | e995f98d56967d946471af29d7bf99f1 | 598
+ (5,78)  |  563 |  8.07 | 8eefcfdf5990e441f0fb6f3fad709e21 | 656
+ (8,51)  |  827 | 3.585 | fa3a3c407f82377f55c19c5d403335c7 | 643
+ (6,56)  |  638 | 6.102 | 4c27cea8526af8cfee3be5e183ac9605 | 658
+ (2,67)  |  261 | 7.444 | b1a59b315fc9a3002ce38bbe070ec3f5 | 653
+ (7,59)  |  738 | 9.665 | 217eedd1ba8c592db97d0dbe54c7adfc | 604
+ (3,13)  |  304 | 6.224 | 37bc2f75bf1bcfe8450a1a41c200364c | 648
+ (9,2)   |  875 |  6.93 | 4b0a59ddf11c58e7446c9df0da541a84 | 597
+ (4,87)  |  475 | 9.427 | 5ef0b4eba35ab2d6180b0bca7e46b6f9 | 645
+ (4,94)  |  482 | 7.234 | f770b62bc8f42a0b66751fe636fc6eb0 | 643
+ (6,55)  |  637 | 2.075 | a532400ed62e772b9dc0b86f46e583ff | 615
+ (2,86)  |  280 | 8.207 | 92c8c96e4c37100777c7190b76d28233 | 614
+ (3,6)   |  297 | 9.248 | 9fd81843ad7f202f26c1a174c7357585 | 594
+ (0,58)  |   58 | 4.196 | 66f041e16a60928b05a7e228a89c3799 | 609
+ (8,8)   |  784 | 5.872 | fc8001f834f6a5f0561080d134d53d29 | 602
+ (8,12)  |  788 | 5.519 | c15da1f2b5e5ed6e6837a3802f0d1593 | 649
+ (10,4)  |  974 | 3.717 | 4311359ed4969e8401880e3c1836fbe1 | 667
+ (9,54)  |  927 | 3.231 | 1f4477bad7af3616c1f933a02bfabe4e | 597
+ (4,13)  |  401 |  5.05 | 816b112c6105b3ebd537828a39af4818 | 631
+ (9,45)  |  918 |  9.71 | 1e056d2b0ebd5c878c550da6ac5d3724 | 655
+ (2,14)  |  208 | 6.732 | 091d584fced301b442654dd8c23b3fc9 | 592
+ (4,90)  |  478 | 2.325 | cfee398643cbc3dc5eefc89334cacdc1 | 616
+ (0,29)  |   29 | 5.164 | 6ea9ab1baa0efb9e19094440c317e21b | 632
+ (4,59)  |  447 | 2.898 | 9a96876e2f8f3dc4f3cf45f02c61c0c1 | 629
+ (1,64)  |  161 | 7.939 | bd4c9ab730f5513206b999ec0d90d1fb | 668
+ (5,9)   |  494 | 4.764 | 1be3bc32e6564055d5ca3e5a354acbef | 601
+ (6,73)  |  655 | 5.838 | 3d2d8ccb37df977cb6d9da15b76c3f3a | 626
+ (9,10)  |  883 | 9.689 | 210f760a89db30aa72ca258a3483cc7f | 602
+ (8,97)  |  873 |  8.51 | 98d6f58ab0dafbb86b083a001561bb34 | 657
+ (6,95)  |  677 |  8.81 | 71a3cb155f8dc89bf3d0365288219936 | 608
+ (0,14)  |   14 | 2.613 | aab3238922bcc25a6f606eb525ffdc56 | 669
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+ (2,23)  |  217 | 0.693 | 63dc7ed1010d3c3b8269faf0ba7491d4 | 620
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+ (3,48)  |  339 | 9.967 | 04025959b191f8f9de3f924f0940515f | 619
+ (7,13)  |  692 | 9.199 | e555ebe0ce426f7f9b2bef0706315e0c | 593
+ (3,73)  |  364 | 5.908 | bac9162b47c56fc8a4d2a519803d51b3 | 604
+ (4,16)  |  404 | 9.063 | 4f4adcbf8c6f66dcfc8a3282ac2bf10a | 611
+ (7,47)  |  726 | 3.435 | 0d3180d672e08b4c5312dcdafdf6ef36 | 589
+ (6,76)  |  658 | 2.859 | 2f37d10131f2a483a8dd005b3d14b0d9 | 657
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+ (4,70)  |  458 | 4.067 | d07e70efcfab08731a97e7b91be644de | 648
+ (6,87)  |  669 |  9.84 | 5c04925674920eb58467fb52ce4ef728 | 673
+ (6,64)  |  646 | 3.973 | 0ff39bbbf981ac0151d340c9aa40e63e | 655
+ (0,78)  |   78 | 8.373 | 35f4a8d465e6e1edc05f3d8ab658c551 | 670
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+ (6,15)  |  597 | 5.807 | 08c5433a60135c32e34f46a71175850c | 622
+ (1,64)  |  161 | 7.939 | bd4c9ab730f5513206b999ec0d90d1fb | 592
+ (4,6)   |  394 |  3.99 | 28f0b864598a1291557bed248a998d4e | 664
+ (5,38)  |  523 | 2.255 | 2bb232c0b13c774965ef8558f0fbd615 | 653
+ (2,50)  |  244 | 2.833 | 9188905e74c28e489b44e954ec0b9bca | 630
+ (3,34)  |  325 | 4.999 | 89f0fd5c927d466d6ec9a21b9ac34ffa | 614
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+ (5,27)  |  512 | 1.128 | 10a7cdd970fe135cf4f7bb55c0e3b59f | 657
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+ (3,85)  |  376 | 7.911 | 142949df56ea8ae0be8b5306971900a4 | 646
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+ (7,36)  |  715 | 3.201 | 8df707a948fac1b4a0f97aa554886ec8 | 595
+ (6,48)  |  630 | 3.619 | 9cc138f8dc04cbf16240daa92d8d50e2 | 657
+ (1,40)  |  137 | 1.045 | 3988c7f88ebcb58c6ce932b957b6f332 | 629
+ (5,91)  |  576 | 2.975 | a7aeed74714116f3b292a982238f83d2 | 661
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+ (6,62)  |  644 | 0.769 | 8c7bbbba95c1025975e548cee86dfadc | 674
+ (8,75)  |  851 | 3.901 | 92fb0c6d1758261f10d052e6e2c1123c | 664
+ (3,89)  |  380 | 5.038 | bca82e41ee7b0833588399b1fcd177c7 | 685
+ (0,97)  |   97 | 3.799 | e2ef524fbf3d9fe611d5a8e90fefdc9c | 621
+ (8,90)  |  866 | 9.162 | ca8155f4d27f205953f9d3d7974bdd70 | 678
+ (8,38)  |  814 | 5.229 | 96b9bff013acedfb1d140579e2fbeb63 | 613
+ (3,35)  |  326 | 6.161 | a666587afda6e89aec274a3657558a27 | 676
+ (3,86)  |  377 | 9.915 | d34ab169b70c9dcd35e62896010cd9ff | 644
+ (5,46)  |  531 | 0.877 | 0fcbc61acd0479dc77e3cccc0f5ffca7 | 599
+ (2,22)  |  216 | 5.678 | 45fbc6d3e05ebd93369ce542e8f2322d | 591
+ (7,62)  |  741 | 9.252 | 2e65f2f2fdaf6c699b223c61b1b5ab89 | 657
+ (7,73)  |  752 |  6.81 | a1d33d0dfec820b41b54430b50e96b5c | 660
+ (8,41)  |  817 | 4.968 | 31839b036f63806cba3f47b93af8ccb5 | 678
+ (1,58)  |  155 | 0.382 | 2a79ea27c279e471f4d180b08d62b00a | 679
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+ (4,40)  |  428 | 4.838 | 8d7d8ee069cb0cbbf816bbb65d56947e | 602
+ (6,50)  |  632 | 9.487 | abd815286ba1007abfbb8415b83ae2cf | 641
+ (4,67)  |  455 | 4.602 | 821fa74b50ba3f7cba1e6c53e8fa6845 | 665
+ (5,62)  |  547 | 2.692 | c75b6f114c23a4d7ea11331e7c00e73c | 640
+ (6,7)   |  589 | 7.307 | 30bb3825e8f631cc6075c0f87bb4978c | 665
+ (2,38)  |  232 | 2.033 | be83ab3ecd0db773eb2dc1b0a17836a1 | 607
+ (0,34)  |   34 | 2.454 | e369853df766fa44e1ed0ff613f563bd | 639
+ (8,22)  |  798 | 4.377 | 9e3cfc48eccf81a0d57663e129aef3cb | 601
+ (9,48)  |  921 | 5.248 | 430c3626b879b4005d41b8a46172e0c0 | 615
+ (8,60)  |  836 | 7.597 | ab88b15733f543179858600245108dd8 | 658
+ (2,31)  |  225 | 8.138 | d1c38a09acc34845c6be3a127a5aacaf | 633
+ (0,56)  |   56 | 3.489 | 9f61408e3afb633e50cdf1b20de6f466 | 651
+ (0,18)  |   18 | 1.535 | 6f4922f45568161a8cdf4ad2299f6d23 | 643
+ (3,20)  |  311 | 5.661 | 9dfcd5e558dfa04aaf37f137a1d9d3e5 | 682
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+ (5,68)  |  553 | 3.933 | f387624df552cea2f369918c5e1e12bc | 623
+ (3,97)  |  388 | 2.299 | d9fc5b73a8d78fad3d6dffe419384e70 | 672
+ (7,38)  |  717 | 5.589 | 788d986905533aba051261497ecffcbb | 669
+ (5,67)  |  552 | 3.296 | 94c7bb58efc3b337800875b5d382a072 | 642
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+ (0,25)  |   25 | 7.485 | 8e296a067a37563370ded05f5a3bf3ec | 659
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+ (0,45)  |   45 |  4.28 | 6c8349cc7260ae62e3b1396831a8398f | 612
+ (0,84)  |   84 | 8.664 | 68d30a9594728bc39aa24be94b319d21 | 600
+ (3,97)  |  388 | 2.299 | d9fc5b73a8d78fad3d6dffe419384e70 | 593
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+ (1,59)  |  156 |  9.49 | 1c9ac0159c94d8d0cbedc973445af2da | 601
+ (5,10)  |  495 | 5.686 | 35051070e572e47d2c26c241ab88307f | 662
+ (4,25)  |  413 | 0.414 | 0deb1c54814305ca9ad266f53bc82511 | 675
+ (3,26)  |  317 | 7.566 | 5b8add2a5d98b1a652ea7fd72d942dac | 654
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+ (7,91)  |  770 | 8.527 | 4ea06fbc83cdd0a06020c35d50e1e89a | 681
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+ (4,26)  |  414 |  0.84 | 66808e327dc79d135ba18e051673d906 | 612
+ (0,23)  |   23 | 9.137 | 37693cfc748049e45d87b8c7d8b9aacd | 628
+ (2,19)  |  213 | 0.037 | 979d472a84804b9f647bc185a877a8b5 | 683
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+ (5,49)  |  534 | 7.218 | c399862d3b9d6b76c8436e924a68c45b | 601
+ (9,55)  |  928 | 3.601 | d045c59a90d7587d8d671b5f5aec4e7c | 613
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+ (7,84)  |  763 | 6.188 | eefc9e10ebdc4a2333b42b2dbb8f27b6 | 601
+ (2,35)  |  229 | 3.638 | 57aeee35c98205091e18d1140e9f38cf | 598
+ (6,20)  |  602 | 6.631 | c3992e9a68c5ae12bd18488bc579b30d | 643
+ (5,5)   |  490 | 5.695 | c410003ef13d451727aeff9082c29a5c | 627
+ (3,96)  |  387 | 2.769 | 8efb100a295c0c690931222ff4467bb8 | 641
+ (4,50)  |  438 | 0.622 | 1651cf0d2f737d7adeab84d339dbabd3 | 601
+ (9,91)  |  964 | 4.635 | 8065d07da4a77621450aa84fee5656d9 | 654
+ (1,44)  |  141 | 6.832 | 0f28b5d49b3020afeecd95b4009adf4c | 594
+ (6,81)  |  663 | 2.433 | 8757150decbd89b0f5442ca3db4d0e0e | 637
+ (4,14)  |  402 | 8.246 | 69cb3ea317a32c4e6143e665fdb20b14 | 598
+ (8,68)  |  844 | 3.318 | e97ee2054defb209c35fe4dc94599061 | 589
+ (3,66)  |  357 | 7.196 | fb7b9ffa5462084c5f4e7e85a093e6d7 | 626
+ (9,55)  |  928 | 3.601 | d045c59a90d7587d8d671b5f5aec4e7c | 606
+ (9,34)  |  907 | 5.918 | 621461af90cadfdaf0e8d4cc25129f91 | 675
+ (8,21)  |  797 | 2.742 | beb22fb694d513edcf5533cf006dfeae | 683
+ (6,88)  |  670 | 4.681 | 17c276c8e723eb46aef576537e9d56d0 | 624
+ (3,27)  |  318 | 9.977 | 432aca3a1e345e339f35a30c8f65edce | 667
+ (1,72)  |  169 | 1.767 | 3636638817772e42b59d74cff571fbb3 | 668
+ (0,36)  |   36 | 3.822 | 19ca14e7ea6328a42e0eb13d585e4c22 | 593
+ (9,85)  |  958 | 1.634 | d240e3d38a8882ecad8633c8f9c78c9b | 631
+ (6,2)   |  584 | 3.751 | f5deaeeae1538fb6c45901d524ee2f98 | 641
+ (7,88)  |  767 | 1.454 | f2201f5191c4e92cc5af043eebfd0946 | 595
+ (0,97)  |   97 | 3.799 | e2ef524fbf3d9fe611d5a8e90fefdc9c | 592
+ (3,64)  |  355 |  5.48 | 82cec96096d4281b7c95cd7e74623496 | 617
+ (4,14)  |  402 | 8.246 | 69cb3ea317a32c4e6143e665fdb20b14 | 609
+ (5,41)  |  526 |  7.94 | 85422afb467e9456013a2a51d4dff702 | 598
+ (8,24)  |  800 | 8.901 | 7a53928fa4dd31e82c6ef826f341daec | 644
+ (6,67)  |  649 | 8.757 | 55b37c5c270e5d84c793e486d798c01d | 592
+ (8,13)  |  789 | 3.511 | 68053af2923e00204c3ca7c6a3150cf7 | 665
+ (1,57)  |  154 | 8.796 | 1d7f7abc18fcb43975065399b0d1e48e | 682
+ (8,45)  |  821 | 9.903 | 4558dbb6f6f8bb2e16d03b85bde76e2c | 672
+ (6,87)  |  669 |  9.84 | 5c04925674920eb58467fb52ce4ef728 | 685
+ (6,79)  |  661 | 6.478 | 3a066bda8c96b9478bb0512f0a43028c | 663
+ (7,57)  |  736 |  2.94 | 6bc24fc1ab650b25b4114e93a98f1eba | 604
+ (1,42)  |  139 | 2.042 | e00da03b685a0dd18fb6a08af0923de0 | 685
+ (7,68)  |  747 | 7.546 | 8d317bdcf4aafcfc22149d77babee96d | 622
+ (3,28)  |  319 | 7.195 | 8d3bba7425e7c98c50f52ca1b52d3735 | 626
+ (0,78)  |   78 | 8.373 | 35f4a8d465e6e1edc05f3d8ab658c551 | 667
+ (2,52)  |  246 | 7.953 | 38db3aed920cf82ab059bfccbd02be6a | 672
+ (5,92)  |  577 | 0.858 | fde9264cf376fffe2ee4ddf4a988880d | 631
+ (4,85)  |  473 | 3.453 | 2050e03ca119580f74cca14cc6e97462 | 658
+ (8,6)   |  782 | 0.276 | 72da7fd6d1302c0a159f6436d01e9eb0 | 632
+ (7,19)  |  698 | 1.767 | 99bcfcd754a98ce89cb86f73acc04645 | 682
+ (9,53)  |  926 | 3.294 | cbb6a3b884f4f88b3a8e3d44c636cbd8 | 593
+ (3,57)  |  348 | 1.463 | 01386bd6d8e091c2ab4c7c7de644d37b | 613
+ (3,38)  |  329 | 4.234 | 6faa8040da20ef399b63a72d0e4ab575 | 683
+ (8,37)  |  813 | 4.154 | e0cf1f47118daebc5b16269099ad7347 | 607
+ (1,25)  |  122 | 8.126 | a0a080f42e6f13b3a2df133f073095dd | 602
+ (6,67)  |  649 | 8.757 | 55b37c5c270e5d84c793e486d798c01d | 671
+ (9,97)  |  970 | 7.977 | 89fcd07f20b6785b92134bd6c1d0fa42 | 624
+ (2,35)  |  229 | 3.638 | 57aeee35c98205091e18d1140e9f38cf | 613
+ (8,73)  |  849 | 4.814 | fe8c15fed5f808006ce95eddb7366e35 | 669
+ (6,50)  |  632 | 9.487 | abd815286ba1007abfbb8415b83ae2cf | 639
+ (10,30) | 1000 | 2.776 | a9b7ba70783b617e9998dc4dd82eb3c5 | 669
+ (2,31)  |  225 | 8.138 | d1c38a09acc34845c6be3a127a5aacaf | 667
+ (5,42)  |  527 | 9.387 | 13f320e7b5ead1024ac95c3b208610db | 669
+ (1,3)   |  100 | 1.237 | f899139df5e1059396431415e770c6dd | 604
+ (6,35)  |  617 | 1.047 | 5d44ee6f2c3f71b73125876103c8f6c4 | 662
+ (8,8)   |  784 | 5.872 | fc8001f834f6a5f0561080d134d53d29 | 678
+ (1,7)   |  104 | 6.715 | c9e1074f5b3f9fc8ea15d152add07294 | 633
+ (2,71)  |  265 | 6.691 | e56954b4f6347e897f954495eab16a88 | 651
+ (5,21)  |  506 | 5.768 | ff4d5fbbafdf976cfdc032e3bde78de5 | 640
+ (1,41)  |  138 | 5.781 | 013d407166ec4fa56eb1e1f8cbe183b9 | 673
+ (1,29)  |  126 | 7.115 | 069059b7ef840f0c74a814ec9237b6ec | 650
+ (1,72)  |  169 | 1.767 | 3636638817772e42b59d74cff571fbb3 | 608
+ (5,17)  |  502 | 0.735 | b5b41fac0361d157d9673ecb926af5ae | 655
+ (1,87)  |  184 | 7.903 | 6cdd60ea0045eb7a6ec44c54d29ed402 | 681
+ (3,57)  |  348 | 1.463 | 01386bd6d8e091c2ab4c7c7de644d37b | 644
+ (1,35)  |  132 | 6.002 | 65ded5353c5ee48d0b7d48c591b8f430 | 640
+ (0,70)  |   70 | 0.403 | 7cbbc409ec990f19c78c75bd1e06f215 | 623
+ (10,5)  |  975 |   6.5 | 92977ae4d2ba21425a59afb269c2a14e | 663
+ (8,78)  |  854 | 6.787 | f7e9050c92a851b0016442ab604b0488 | 658
+ (8,54)  |  830 | 9.382 | 8e82ab7243b7c66d768f1b8ce1c967eb | 647
+ (5,23)  |  508 | 1.412 | 389bc7bb1e1c2a5e7e147703232a88f6 | 596
+ (3,4)   |  295 | 9.821 | 49182f81e6a13cf5eaa496d51fea6406 | 632
+ (7,24)  |  703 | 8.668 | d6c651ddcd97183b2e40bc464231c962 | 628
+ (2,53)  |  247 | 8.511 | 3cec07e9ba5f5bb252d13f5f431e4bbb | 595
+ (2,7)   |  201 | 8.395 | 757b505cfd34c64c85ca5b5690ee5293 | 626
+ (3,66)  |  357 | 7.196 | fb7b9ffa5462084c5f4e7e85a093e6d7 | 643
+ (8,7)   |  783 | 3.212 | 6e0721b2c6977135b916ef286bcb49ec | 615
+ (6,71)  |  653 | 0.018 | eaae339c4d89fc102edd9dbdb6a28915 | 650
+ (7,54)  |  733 | 7.616 | 6c29793a140a811d0c45ce03c1c93a28 | 661
+ (0,91)  |   91 | 5.307 | 54229abfcfa5649e7003b83dd4755294 | 666
+ (4,55)  |  443 | 3.362 | 13f3cf8c531952d72e5847c4183e6910 | 646
+ (1,87)  |  184 | 7.903 | 6cdd60ea0045eb7a6ec44c54d29ed402 | 634
+ (0,19)  |   19 | 5.218 | 1f0e3dad99908345f7439f8ffabdffc4 | 656
+ (6,61)  |  643 | 4.234 | 9b698eb3105bd82528f23d0c92dedfc0 | 679
+ (0,4)   |    4 | 0.488 | a87ff679a2f3e71d9181a67b7542122c | 594
+ (4,89)  |  477 | 1.205 | 74071a673307ca7459bcf75fbd024e09 | 594
+ (3,94)  |  385 | 5.103 | dc912a253d1e9ba40e2c597ed2376640 | 620
+ (1,55)  |  152 | 6.651 | 37a749d808e46495a8da1e5352d03cae | 602
+ (0,57)  |   57 | 2.005 | 72b32a1f754ba1c09b3695e0cb6cde7f | 616
+ (8,23)  |  799 | 5.797 | 28267ab848bcf807b2ed53c3a8f8fc8a | 669
+ (4,68)  |  456 | 7.784 | 250cf8b51c773f3f8dc8b4be867a9a02 | 684
+ (4,89)  |  477 | 1.205 | 74071a673307ca7459bcf75fbd024e09 | 681
+ (6,25)  |  607 | 4.795 | dc82d632c9fcecb0778afbc7924494a6 | 673
+ (7,55)  |  734 |  0.84 | e995f98d56967d946471af29d7bf99f1 | 674
+ (2,59)  |  253 | 1.789 | c24cd76e1ce41366a4bbe8a49b02a028 | 674
+ (6,22)  |  604 |  1.82 | 9cf81d8026a9018052c429cc4e56739b | 610
+ (0,40)  |   40 | 9.594 | d645920e395fedad7bbbed0eca3fe2e0 | 601
+ (2,83)  |  277 | 1.613 | 20f07591c6fcb220ffe637cda29bb3f6 | 665
+ (10,13) |  983 | 7.567 | 6aab1270668d8cac7cef2566a1c5f569 | 593
+ (4,50)  |  438 | 0.622 | 1651cf0d2f737d7adeab84d339dbabd3 | 591
+ (8,55)  |  831 | 3.798 | e0ec453e28e061cc58ac43f91dc2f3f0 | 645
+ (7,82)  |  761 | 0.899 | 88ae6372cfdc5df69a976e893f4d554b | 607
+ (10,8)  |  978 | 8.832 | 2ab56412b1163ee131e1246da0955bd1 | 616
+ (6,19)  |  601 | 2.693 | b2f627fff19fda463cb386442eac2b3d | 657
+ (2,36)  |  230 | 1.073 | 6da9003b743b65f4c0ccd295cc484e57 | 616
+ (8,47)  |  823 | 2.887 | 632cee946db83e7a52ce5e8d6f0fed35 | 683
+ (1,10)  |  107 | 3.065 | a97da629b098b75c294dffdc3e463904 | 638
+ (9,10)  |  883 | 9.689 | 210f760a89db30aa72ca258a3483cc7f | 589
+ (1,71)  |  168 | 3.981 | 006f52e9102a8d3be2fe5614f42ba989 | 645
+ (0,23)  |   23 | 9.137 | 37693cfc748049e45d87b8c7d8b9aacd | 684
+ (2,19)  |  213 | 0.037 | 979d472a84804b9f647bc185a877a8b5 | 647
+ (5,77)  |  562 | 8.753 | 4e4b5fbbbb602b6d35bea8460aa8f8e5 | 608
+ (5,42)  |  527 | 9.387 | 13f320e7b5ead1024ac95c3b208610db | 625
+ (7,77)  |  756 | 4.813 | 2823f4797102ce1a1aec05359cc16dd9 | 673
+ (10,23) |  993 | 9.428 | 7b13b2203029ed80337f27127a9f1d28 | 663
+ (4,20)  |  408 | 2.929 | 0d0fd7c6e093f7b804fa0150b875b868 | 650
+ (6,52)  |  634 | 4.386 | 6766aa2750c19aad2fa1b32f36ed4aee | 677
+ (6,19)  |  601 | 2.693 | b2f627fff19fda463cb386442eac2b3d | 644
+ (4,59)  |  447 | 2.898 | 9a96876e2f8f3dc4f3cf45f02c61c0c1 | 605
+ (5,96)  |  581 | 9.818 | c6e19e830859f2cb9f7c8f8cacb8d2a6 | 682
+ (7,59)  |  738 | 9.665 | 217eedd1ba8c592db97d0dbe54c7adfc | 617
+ (10,12) |  982 |  1.32 | fec8d47d412bcbeece3d9128ae855a7a | 662
+ (1,6)   |  103 | 4.109 | 6974ce5ac660610b44d9b9fed0ff9548 | 596
+ (2,41)  |  235 | 5.502 | 577ef1154f3240ad5b9b413aa7346a1e | 610
+ (4,79)  |  467 | 7.696 | ab817c9349cf9c4f6877e1894a1faa00 | 597
+ (10,21) |  991 | 2.868 | 692f93be8c7a41525c0baf2076aecfb4 | 599
+ (9,72)  |  945 |   0.3 | 4b6538a44a1dfdc2b83477cd76dee98e | 657
+ (7,53)  |  732 | 1.649 | ba3866600c3540f67c1e9575e213be0a | 665
+ (5,10)  |  495 | 5.686 | 35051070e572e47d2c26c241ab88307f | 649
+ (3,32)  |  323 | 6.341 | bc6dc48b743dc5d013b1abaebd2faed2 | 611
+ (1,40)  |  137 | 1.045 | 3988c7f88ebcb58c6ce932b957b6f332 | 621
+ (5,42)  |  527 | 9.387 | 13f320e7b5ead1024ac95c3b208610db | 641
+ (1,55)  |  152 | 6.651 | 37a749d808e46495a8da1e5352d03cae | 620
+ (4,75)  |  463 | 0.808 | 428fca9bc1921c25c5121f9da7815cde | 668
+ (3,16)  |  307 | 6.515 | 8e98d81f8217304975ccb23337bb5761 | 640
+ (9,20)  |  893 | 1.805 | d56b9fc4b0f1be8871f5e1c40c0067e7 | 681
+ (1,51)  |  148 | 8.453 | 47d1e990583c9c67424d369f3414728e | 599
+ (10,1)  |  971 | 3.963 | 6602294be910b1e3c4571bd98c4d5484 | 632
+ (1,76)  |  173 | 5.075 | f7e6c85504ce6e82442c770f7c8606f0 | 679
+ (1,29)  |  126 | 7.115 | 069059b7ef840f0c74a814ec9237b6ec | 631
+ (9,87)  |  960 |  7.25 | 437d7d1d97917cd627a34a6a0fb41136 | 662
+ (0,82)  |   82 | 7.493 | 9778d5d219c5080b9a6a17bef029331c | 635
+ (6,25)  |  607 | 4.795 | dc82d632c9fcecb0778afbc7924494a6 | 591
+ (0,4)   |    4 | 0.488 | a87ff679a2f3e71d9181a67b7542122c | 612
+ (4,36)  |  424 | 2.163 | 3c7781a36bcd6cf08c11a970fbe0e2a6 | 594
+ (9,16)  |  889 | 4.188 | 07871915a8107172b3b5dc15a6574ad3 | 623
+ (6,70)  |  652 | 6.461 | 30ef30b64204a3088a26bc2e6ecf7602 | 683
+ (5,86)  |  571 | 0.032 | c9892a989183de32e976c6f04e700201 | 672
+ (1,61)  |  158 | 6.246 | 06409663226af2f3114485aa4e0a23b4 | 677
+ (9,62)  |  935 |  3.85 | e820a45f1dfc7b95282d10b6087e11c0 | 608
+ (5,70)  |  555 | 7.829 | 15de21c670ae7c3f6f3f1f37029303c9 | 645
+ (4,24)  |  412 | 7.018 | b9228e0962a78b84f3d5d92f4faa000b | 674
+ (2,92)  |  286 | 9.295 | 16a5cdae362b8d27a1d8f8c7b78b4330 | 680
+ (8,73)  |  849 | 4.814 | fe8c15fed5f808006ce95eddb7366e35 | 662
+ (9,84)  |  957 | 8.796 | 2ba596643cbbbc20318224181fa46b28 | 671
+ (4,26)  |  414 |  0.84 | 66808e327dc79d135ba18e051673d906 | 647
+ (10,19) |  989 | 7.603 | a1140a3d0df1c81e24ae954d935e8926 | 591
+ (7,20)  |  699 | 9.884 | afd4836712c5e77550897e25711e1d96 | 605
+ (7,94)  |  773 | 7.299 | 86b122d4358357d834a87ce618a55de0 | 646
+ (10,18) |  988 | 5.619 | 9908279ebbf1f9b250ba689db6a0222b | 598
+ (0,96)  |   96 | 2.132 | 26657d5ff9020d2abefe558796b99584 | 678
+ (8,18)  |  794 | 6.246 | 82489c9737cc245530c7a6ebef3753ec | 683
+ (5,59)  |  544 | 1.784 | 97e8527feaf77a97fc38f34216141515 | 603
+ (8,25)  |  801 | 2.903 | 1905aedab9bf2477edc068a355bba31a | 607
+ (4,42)  |  430 | 4.709 | f74909ace68e51891440e4da0b65a70c | 675
+ (6,51)  |  633 |  0.25 | 26dd0dbc6e3f4c8043749885523d6a25 | 662
+ (3,51)  |  342 | 5.627 | 58238e9ae2dd305d79c2ebc8c1883422 | 622
+ (3,82)  |  373 | 4.013 | ffd52f3c7e12435a724a8f30fddadd9c | 660
+ (3,26)  |  317 | 7.566 | 5b8add2a5d98b1a652ea7fd72d942dac | 623
+ (2,20)  |  214 | 3.568 | ca46c1b9512a7a8315fa3c5a946e8265 | 650
+ (3,83)  |  374 | 4.769 | ad972f10e0800b49d76fed33a21f6698 | 629
+ (10,22) |  992 | 7.804 | 860320be12a1c050cd7731794e231bd3 | 679
+ (0,17)  |   17 | 7.358 | 70efdf2ec9b086079795c442636b55fb | 680
+ (6,13)  |  595 | 4.497 | 04ecb1fa28506ccb6f72b12c0245ddbc | 632
+ (4,6)   |  394 |  3.99 | 28f0b864598a1291557bed248a998d4e | 596
+ (0,88)  |   88 |  8.14 | 2a38a4a9316c49e5a833517c45d31070 | 670
+ (0,16)  |   16 |  2.64 | c74d97b01eae257e44aa9d5bade97baf | 683
+ (2,30)  |  224 | 2.281 | 13fe9d84310e77f13a6d184dbf1232f3 | 664
+ (1,64)  |  161 | 7.939 | bd4c9ab730f5513206b999ec0d90d1fb | 641
+ (6,2)   |  584 | 3.751 | f5deaeeae1538fb6c45901d524ee2f98 | 674
+ (10,3)  |  973 | 2.017 | ca75910166da03ff9d4655a0338e6b09 | 676
+ (7,2)   |  681 | 9.106 | 1595af6435015c77a7149e92a551338e | 601
+ (5,83)  |  568 | 8.956 | dd458505749b2941217ddd59394240e8 | 621
+ (0,48)  |   48 | 1.638 | 642e92efb79421734881b53e1e1b18b6 | 611
+ (5,61)  |  546 | 8.622 | ed265bc903a5a097f61d3ec064d96d2e | 651
+ (5,31)  |  516 | 0.909 | f3f27a324736617f20abbf2ffd806f6d | 651
+ (3,44)  |  335 | 5.056 | f9b902fc3289af4dd08de5d1de54f68f | 661
+ (1,26)  |  123 | 1.038 | 202cb962ac59075b964b07152d234b70 | 590
+ (1,47)  |  144 | 5.376 | 0a09c8844ba8f0936c20bd791130d6b6 | 663
+ (10,23) |  993 | 9.428 | 7b13b2203029ed80337f27127a9f1d28 | 675
+ (1,34)  |  131 | 3.525 | 1afa34a7f984eeabdbb0a7d494132ee5 | 593
+ (3,48)  |  339 | 9.967 | 04025959b191f8f9de3f924f0940515f | 660
+ (4,21)  |  409 | 2.081 | a96b65a721e561e1e3de768ac819ffbb | 681
+ (4,6)   |  394 |  3.99 | 28f0b864598a1291557bed248a998d4e | 589
+ (1,32)  |  129 | 1.358 | d1f491a404d6854880943e5c3cd9ca25 | 610
+ (2,5)   |  199 | 1.387 | 84d9ee44e457ddef7f2c4f25dc8fa865 | 609
+ (8,79)  |  855 | 5.458 | addfa9b7e234254d26e9c7f2af1005cb | 662
+ (3,60)  |  351 | 4.695 | efe937780e95574250dabe07151bdc23 | 606
+ (9,51)  |  924 | 7.052 | bea5955b308361a1b07bc55042e25e54 | 641
+ (1,79)  |  176 | 0.635 | 38af86134b65d0f10fe33d30dd76442e | 679
+ (8,33)  |  809 | 6.587 | 32b30a250abd6331e03a2a1f16466346 | 660
+ (0,68)  |   68 | 3.698 | a3f390d88e4c41f2747bfa2f1b5f87db | 664
+ (10,2)  |  972 | 7.836 | c22abfa379f38b5b0411bc11fa9bf92f | 609
+ (2,44)  |  238 | 9.606 | ac1dd209cbcc5e5d1c6e28598e8cbbe8 | 664
+ (8,16)  |  792 | 4.409 | 96ea64f3a1aa2fd00c72faacf0cb8ac9 | 597
+ (4,9)   |  397 | 9.307 | e46de7e1bcaaced9a54f1e9d0d2f800d | 669
+ (6,3)   |  585 | 2.718 | a9a1d5317a33ae8cef33961c34144f84 | 590
+ (4,74)  |  462 | 3.655 | 51d92be1c60d1db1d2e5e7a07da55b26 | 671
+ (8,77)  |  853 | 5.415 | aff1621254f7c1be92f64550478c56e6 | 630
+ (8,28)  |  804 | 0.202 | dc5689792e08eb2e219dce49e64c885b | 674
+ (9,65)  |  938 | 9.768 | 74bba22728b6185eec06286af6bec36d | 627
+ (5,53)  |  538 | 9.297 | 7bcdf75ad237b8e02e301f4091fb6bc8 | 619
+ (1,87)  |  184 | 7.903 | 6cdd60ea0045eb7a6ec44c54d29ed402 | 638
+ (10,23) |  993 | 9.428 | 7b13b2203029ed80337f27127a9f1d28 | 640
+ (9,81)  |  954 | 5.503 | 6395ebd0f4b478145ecfbaf939454fa4 | 591
+ (8,79)  |  855 | 5.458 | addfa9b7e234254d26e9c7f2af1005cb | 650
+ (5,42)  |  527 | 9.387 | 13f320e7b5ead1024ac95c3b208610db | 605
+ (3,50)  |  341 | 7.735 | 3dd48ab31d016ffcbf3314df2b3cb9ce | 603
+ (6,52)  |  634 | 4.386 | 6766aa2750c19aad2fa1b32f36ed4aee | 621
+ (4,53)  |  441 | 6.968 | 15d4e891d784977cacbfcbb00c48f133 | 682
+ (3,25)  |  316 | 1.103 | 3fe94a002317b5f9259f82690aeea4cd | 627
+ (9,20)  |  893 | 1.805 | d56b9fc4b0f1be8871f5e1c40c0067e7 | 617
+ (5,6)   |  491 | 3.957 | 559cb990c9dffd8675f6bc2186971dc2 | 602
+ (9,39)  |  912 | 1.142 | 2a9d121cd9c3a1832bb6d2cc6bd7a8a7 | 653
+ (0,71)  |   71 | 3.292 | e2c420d928d4bf8ce0ff2ec19b371514 | 643
+ (3,76)  |  367 | 8.421 | 05049e90fa4f5039a8cadc6acbb4b2cc | 655
+ (2,67)  |  261 | 7.444 | b1a59b315fc9a3002ce38bbe070ec3f5 | 657
+ (2,32)  |  226 | 5.432 | 9cfdf10e8fc047a44b08ed031e1f0ed1 | 633
+ (3,9)   |  300 | 4.252 | 94f6d7e04a4d452035300f18b984988c | 671
+ (5,25)  |  510 | 2.627 | 087408522c31eeb1f982bc0eaf81d35f | 615
+ (6,55)  |  637 | 2.075 | a532400ed62e772b9dc0b86f46e583ff | 628
+ (8,18)  |  794 | 6.246 | 82489c9737cc245530c7a6ebef3753ec | 635
+ (6,76)  |  658 | 2.859 | 2f37d10131f2a483a8dd005b3d14b0d9 | 667
+ (5,65)  |  550 | 1.335 | 01f78be6f7cad02658508fe4616098a9 | 616
+ (4,88)  |  476 | 1.154 | 598b3e71ec378bd83e0a727608b5db01 | 655
+ (5,51)  |  536 | 4.951 | 65658fde58ab3c2b6e5132a39fae7cb9 | 596
+ (10,15) |  985 | 6.823 | 54a367d629152b720749e187b3eaa11b | 648
+ (8,48)  |  824 | 0.742 | 677e09724f0e2df9b6c000b75b5da10d | 660
+ (2,48)  |  242 | 5.099 | e4a6222cdb5b34375400904f03d8e6a5 | 637
+ (5,93)  |  578 | 8.483 | a8849b052492b5106526b2331e526138 | 604
+ (8,20)  |  796 | 2.844 | 35cf8659cfcb13224cbd47863a34fc58 | 625
+ (1,67)  |  164 | 8.752 | fa7cdfad1a5aaf8370ebeda47a1ff1c3 | 649
+ (0,82)  |   82 | 7.493 | 9778d5d219c5080b9a6a17bef029331c | 594
+ (9,37)  |  910 | 0.305 | e205ee2a5de471a70c1fd1b46033a75f | 604
+ (0,74)  |   74 | 9.463 | ad61ab143223efbc24c7d2583be69251 | 681
+ (4,36)  |  424 | 2.163 | 3c7781a36bcd6cf08c11a970fbe0e2a6 | 634
+ (1,23)  |  120 | 9.306 | da4fb5c6e93e74d3df8527599fa62642 | 639
+ (7,64)  |  743 | 9.999 | 5c572eca050594c7bc3c36e7e8ab9550 | 682
+ (0,6)   |    6 |  1.83 | 1679091c5a880faf6fb5e6087eb1b2dc | 654
+ (1,89)  |  186 | 7.125 | 9872ed9fc22fc182d371c3e9ed316094 | 604
+ (5,61)  |  546 | 8.622 | ed265bc903a5a097f61d3ec064d96d2e | 624
+ (7,69)  |  748 | 0.086 | e49b8b4053df9505e1f48c3a701c0682 | 611
+ (5,93)  |  578 | 8.483 | a8849b052492b5106526b2331e526138 | 589
+ (2,13)  |  207 | 4.104 | 69adc1e107f7f7d035d7baf04342e1ca | 602
+ (4,6)   |  394 |  3.99 | 28f0b864598a1291557bed248a998d4e | 604
+ (6,27)  |  609 | 6.172 | d7a728a67d909e714c0774e22cb806f2 | 624
+ (5,66)  |  551 | 5.262 | 7f24d240521d99071c93af3917215ef7 | 590
+ (2,12)  |  206 | 2.416 | 7eabe3a1649ffa2b3ff8c02ebfd5659f | 589
+ (5,94)  |  579 | 9.939 | 258be18e31c8188555c2ff05b4d542c3 | 589
+ (0,97)  |   97 | 3.799 | e2ef524fbf3d9fe611d5a8e90fefdc9c | 589
+ (2,80)  |  274 | 3.661 | d947bf06a885db0d477d707121934ff8 | 680
+ (1,22)  |  119 | 2.819 | 07e1cd7dca89a1678042477183b7ac3f | 614
+ (0,41)  |   41 | 5.435 | 3416a75f4cea9109507cacd8e2f2aefc | 647
+ (4,46)  |  434 | 1.851 | a49e9411d64ff53eccfdd09ad10a15b3 | 603
+ (6,54)  |  636 | 9.116 | c5ab0bc60ac7929182aadd08703f1ec6 | 601
+ (9,28)  |  901 | 8.444 | 892c91e0a653ba19df81a90f89d99bcd | 663
+ (1,84)  |  181 | 6.904 | fc221309746013ac554571fbd180e1c8 | 672
+ (3,77)  |  368 | 7.943 | cf004fdc76fa1a4f25f62e0eb5261ca3 | 640
+ (8,85)  |  861 | 8.424 | f9a40a4780f5e1306c46f1c8daecee3b | 648
+ (8,10)  |  786 |  9.74 | 61b4a64be663682e8cb037d9719ad8cd | 667
+ (1,40)  |  137 | 1.045 | 3988c7f88ebcb58c6ce932b957b6f332 | 673
+ (8,46)  |  822 | 5.911 | afda332245e2af431fb7b672a68b659d | 612
+ (0,47)  |   47 |  9.07 | 67c6a1e7ce56d3d6fa748ab6d9af3fd7 | 645
+ (1,41)  |  138 | 5.781 | 013d407166ec4fa56eb1e1f8cbe183b9 | 645
+ (5,20)  |  505 | 0.208 | e8c0653fea13f91bf3c48159f7c24f78 | 673
+ (2,39)  |  233 | 9.268 | e165421110ba03099a1c0393373c5b43 | 661
+ (4,10)  |  398 | 6.664 | b7b16ecf8ca53723593894116071700c | 650
+ (5,85)  |  570 | 7.279 | a86c450b76fb8c371afead6410d55534 | 655
+ (3,88)  |  379 | 9.374 | a02ffd91ece5e7efeb46db8f10a74059 | 621
+ (8,24)  |  800 | 8.901 | 7a53928fa4dd31e82c6ef826f341daec | 622
+ (5,78)  |  563 |  8.07 | 8eefcfdf5990e441f0fb6f3fad709e21 | 601
+ (3,83)  |  374 | 4.769 | ad972f10e0800b49d76fed33a21f6698 | 597
+ (8,26)  |  802 | 4.672 | 1141938ba2c2b13f5505d7c424ebae5f | 608
+ (8,51)  |  827 | 3.585 | fa3a3c407f82377f55c19c5d403335c7 | 621
+ (0,55)  |   55 | 4.387 | b53b3a3d6ab90ce0268229151c9bde11 | 681
+ (3,47)  |  338 | 1.571 | 819f46e52c25763a55cc642422644317 | 645
+ (5,33)  |  518 |  9.49 | ebd9629fc3ae5e9f6611e2ee05a31cef | 597
+ (2,66)  |  260 | 7.864 | a4f23670e1833f3fdb077ca70bbd5d66 | 640
+ (0,88)  |   88 |  8.14 | 2a38a4a9316c49e5a833517c45d31070 | 592
+ (8,13)  |  789 | 3.511 | 68053af2923e00204c3ca7c6a3150cf7 | 647
+(709 rows)
+
+PREPARE p1(tid, tid) AS SELECT ctid,* FROM t1
+                        WHERE c like '%abc%' AND ctid BETWEEN $1 AND $2;
+EXPLAIN (costs off) EXECUTE p1('(5,0)'::tid, '(10,0)'::tid);
+                                       QUERY PLAN                                        
+-----------------------------------------------------------------------------------------
+ Custom Scan (ctidscan) on t1
+   Filter: ((c ~~ '%abc%'::text) AND (ctid >= '(5,0)'::tid) AND (ctid <= '(10,0)'::tid))
+   ctid quals: ((ctid >= '(5,0)'::tid) AND (ctid <= '(10,0)'::tid))
+(3 rows)
+
+EXPLAIN (costs off) EXECUTE p1('(10,0)'::tid, '(5,0)'::tid);
+                                       QUERY PLAN                                        
+-----------------------------------------------------------------------------------------
+ Custom Scan (ctidscan) on t1
+   Filter: ((c ~~ '%abc%'::text) AND (ctid >= '(10,0)'::tid) AND (ctid <= '(5,0)'::tid))
+   ctid quals: ((ctid >= '(10,0)'::tid) AND (ctid <= '(5,0)'::tid))
+(3 rows)
+
+-- Also, EXPLAIN with none-text format
+EXPLAIN (costs off, format xml) EXECUTE p1('(0,0)'::tid, '(5,0)'::tid);
+                                                QUERY PLAN                                                 
+-----------------------------------------------------------------------------------------------------------
+ <explain xmlns="http://www.postgresql.org/2009/explain">                                                 +
+   <Query>                                                                                                +
+     <Plan>                                                                                               +
+       <Node-Type>Custom Scan</Node-Type>                                                                 +
+       <Custom-Plan-Provider>ctidscan</Custom-Plan-Provider>                                              +
+       <Relation-Name>t1</Relation-Name>                                                                  +
+       <Alias>t1</Alias>                                                                                  +
+       <Filter>((c ~~ '%abc%'::text) AND (ctid &gt;= '(0,0)'::tid) AND (ctid &lt;= '(5,0)'::tid))</Filter>+
+       <ctid-quals>((ctid &gt;= '(0,0)'::tid) AND (ctid &lt;= '(5,0)'::tid))</ctid-quals>                 +
+     </Plan>                                                                                              +
+   </Query>                                                                                               +
+ </explain>
+(1 row)
+
+-- Turn off the feature
+SET enable_ctidscan = off;
+EXPLAIN (costs off) SELECT * FROM t1 WHERE ctid BETWEEN '(2,115)'::tid AND '(3,10)'::tid;
+                            QUERY PLAN                            
+------------------------------------------------------------------
+ Seq Scan on t1
+   Filter: ((ctid >= '(2,115)'::tid) AND (ctid <= '(3,10)'::tid))
+(2 rows)
+
+-- Test Cleanup
+DROP SCHEMA regtest_custom_scan CASCADE;
+NOTICE:  drop cascades to 3 other objects
+DETAIL:  drop cascades to table t1
+drop cascades to table t2
+drop cascades to table t3
diff --git a/src/test/modules/ctidscan/sql/ctidscan.sql b/src/test/modules/ctidscan/sql/ctidscan.sql
new file mode 100644
index 0000000..c3ee864
--- /dev/null
+++ b/src/test/modules/ctidscan/sql/ctidscan.sql
@@ -0,0 +1,99 @@
+--
+-- Regression Tests for CustomScan Interface with CtidScan Provider
+--
+
+-- construction of test data
+SET client_min_messages TO 'warning';
+
+SET SEED TO 0.20140702;
+
+CREATE SCHEMA regtest_custom_scan;
+
+SET search_path TO regtest_custom_scan, public;
+
+CREATE TABLE t1 (
+    a   int primary key,
+    b   float,
+    c   text
+);
+INSERT INTO t1 (SELECT i, ceil(random()*10000.0) / 1000.0, md5(i::text) FROM generate_series(1,1000) i);
+VACUUM ANALYZE t1;
+
+CREATE TABLE t2 (
+    x   int primary key,
+    y   float,
+    z   text
+);
+INSERT INTO t2 (SELECT i, ceil(random()*10000.0) / 1000.0, md5((-i)::text) FROM generate_series(201,1200) i);
+VACUUM ANALYZE t2;
+
+CREATE TABLE t3 (
+    a   int references t1(a),
+    x   int references t2(x)
+);
+INSERT INTO t3 (SELECT ceil(random() * 1000), ceil(random() * 1000) + 200 FROM generate_series(1,8000) i);
+
+RESET client_min_messages;
+--
+-- Check Plans if no special extensions are loaded.
+--
+EXPLAIN (costs off) SELECT * FROM t1 WHERE a = 40 AND ctid < '(6,0)'::tid;
+EXPLAIN (costs off) SELECT * FROM t1 WHERE c like '%789%' AND ctid < '(5,0)'::tid;
+EXPLAIN (costs off) SELECT * FROM t1 WHERE ctid = '(2,10)'::tid;
+EXPLAIN (costs off) SELECT * FROM t1 WHERE ctid BETWEEN '(2,115)'::tid AND '(3,10)'::tid;
+EXPLAIN (costs off)
+    SELECT * FROM t1, t2, t3
+    WHERE t1.a = t3.a AND t2.x = t3.x
+          AND t1.ctid BETWEEN '(3,10)'::tid AND '(10,9999)'::tid
+          AND t2.ctid BETWEEN '(4,9999)'::tid AND '(8,0)'::tid
+          AND t3.ctid BETWEEN '(2,0)'::tid AND '(5,0)'::tid;
+EXPLAIN (costs off, verbose)
+    SELECT count(*), ceil(b)
+    FROM t1 WHERE ctid BETWEEN '(3,0)'::tid AND '(10,0)'::tid
+    GROUP BY ceil(b);
+
+--
+-- Plan for same query but ctidscan was loaded
+--
+LOAD '$libdir/ctidscan';
+EXPLAIN (costs off) SELECT * FROM t1 WHERE a = 40 AND ctid < '(6,0)'::tid;
+EXPLAIN (costs off) SELECT * FROM t1 WHERE c like '%789%' AND ctid < '(5,0)'::tid;
+EXPLAIN (costs off) SELECT * FROM t1 WHERE ctid = '(2,10)'::tid;
+EXPLAIN (costs off) SELECT * FROM t1 WHERE ctid BETWEEN '(2,115)'::tid AND '(3,10)'::tid;
+EXPLAIN (costs off)
+    SELECT * FROM t1, t2, t3
+    WHERE t1.a = t3.a AND t2.x = t3.x
+          AND t1.ctid BETWEEN '(3,10)'::tid AND '(10,9999)'::tid
+          AND t2.ctid BETWEEN '(4,9999)'::tid AND '(8,0)'::tid
+          AND t3.ctid BETWEEN '(2,0)'::tid AND '(5,0)'::tid;
+EXPLAIN (costs off, verbose)
+    SELECT count(*), ceil(b)
+    FROM t1 WHERE ctid BETWEEN '(3,0)'::tid AND '(10,0)'::tid
+    GROUP BY ceil(b);
+
+--
+-- Run the query without EXPLAIN
+--
+SELECT ctid,* FROM t1 WHERE ctid <= '(1,20)'::tid;
+SELECT ctid,* FROM t1 WHERE ctid > '(10,0)'::tid;
+SELECT ctid,* FROM t1 WHERE c like '%678%' AND ctid >= '(3,50)'::tid;
+SELECT ctid,* FROM t1 WHERE ctid BETWEEN '(2,115)'::tid AND '(3,10)'::tid;
+SELECT t1.ctid,* FROM t1 NATURAL JOIN t3 WHERE t3.ctid IN (
+  SELECT t3.ctid FROM t2 NATURAL JOIN t3
+    WHERE t2.ctid BETWEEN '(4,0)'::tid AND '(5,0)'::tid);
+
+PREPARE p1(tid, tid) AS SELECT ctid,* FROM t1
+                        WHERE c like '%abc%' AND ctid BETWEEN $1 AND $2;
+EXPLAIN (costs off) EXECUTE p1('(5,0)'::tid, '(10,0)'::tid);
+EXPLAIN (costs off) EXECUTE p1('(10,0)'::tid, '(5,0)'::tid);
+
+-- Also, EXPLAIN with none-text format
+EXPLAIN (costs off, format xml) EXECUTE p1('(0,0)'::tid, '(5,0)'::tid);
+
+-- Turn off the feature
+SET enable_ctidscan = off;
+
+EXPLAIN (costs off) SELECT * FROM t1 WHERE ctid BETWEEN '(2,115)'::tid AND '(3,10)'::tid;
+
+-- Test Cleanup
+DROP SCHEMA regtest_custom_scan CASCADE;
diff --git a/src/test/regress/expected/custom_scan.out b/src/test/regress/expected/custom_scan.out
new file mode 100644
index 0000000..e69de29
diff --git a/src/test/regress/sql/custom_scan.sql b/src/test/regress/sql/custom_scan.sql
new file mode 100644
index 0000000..683154b
--- /dev/null
+++ b/src/test/regress/sql/custom_scan.sql
@@ -0,0 +1,53 @@
+--
+-- Regression Tests for CustomScan Interface with CtidScan Provider
+--
+
+-- construction of test data
+SET client_min_messages TO 'warning';
+
+SET SEED 0.20140702;
+
+CREATE SCHEMA regtest_custom_scan;
+
+SET search_path TO regtest_custom_scan, public;
+
+CREATE TABLE t1 (
+    a   int primary key,
+    b   float,
+    c   text
+);
+INSERT INTO t1 (SELECT i, ceil(random()*1000.0) / 1000.0, md5(i::text) FROM generate_series(1,1000) i);
+VACUUM ANALYZE t1;
+
+CREATE TABLE t2 (
+    x   int primary key,
+    y   float,
+    z   text
+);
+INSERT INTO t2 (SELECT i, ceil(random()*1000.0) / 1000.0, md5((-i)::text) FROM generate_series(201,1200) i);
+VACUUM ANALYZE t2;
+
+CREATE TABLE t3 (
+    a   int references t1(a),
+    x   int references t2(x)
+);
+INSERT INTO t3 (SELECT ceil(random() * 1000), ceil(random() * 1000) + 200 FROM generate_series(1,8000) i);
+
+RESET client_min_messages;
+--
+-- Check Plans if no special extensions are loaded.
+--
+EXPLAIN (costs off) SELECT * FROM t1 WHERE a = 40;
+EXPLAIN (costs off) SELECT * FROM t1 WHERE b like '%789%';
+EXPLAIN (costs off) SELECT * FROM t1 WHERE ctid = '(2,10)'::tid;
+EXPLAIN (costs off) SELECT * FROM t1 WHERE ctid BETWEEN '(2,115)'::tid AND '(3,10)'::tid;
+EXPLAIN (costs off) SELECT * FROM t1, t2, t3
+    WHERE t1.a = t3.a AND t2.x = t3.x
+          AND t1.ctid BETWEEN '(3,10)'::tid AND '(10,9999)'::tid
+          AND t2.ctid BETWEEN '(4,9999)'::tid AND '(8.0)'::tid
+          AND t3.ctid BETWEEN '(2,0)'::tid AND '(5,0)'::tid;
+
+
+
+-- Test Cleanup
+DROP SCHEMA regtest_custom_scan CASCADE;