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authorTom Lane <tgl@sss.pgh.pa.us>2009-11-28 00:46:19 +0000
committerTom Lane <tgl@sss.pgh.pa.us>2009-11-28 00:46:19 +0000
commit1a95f12702b4e535b5e26ed9c3fcd0b2a1b1a20f (patch)
treec56c54fce5968c874b21fb902c1090b486da4719 /src
parentfe83b975b2bdfa9b553872aa9a5dc959ca89a51f (diff)
downloadpostgresql-1a95f12702b4e535b5e26ed9c3fcd0b2a1b1a20f.tar.gz
postgresql-1a95f12702b4e535b5e26ed9c3fcd0b2a1b1a20f.zip
Eliminate a lot of list-management overhead within join_search_one_level
by adding a requirement that build_join_rel add new join RelOptInfos to the appropriate list immediately at creation. Per report from Robert Haas, the list_concat_unique_ptr() calls that this change eliminates were taking the lion's share of the runtime in larger join problems. This doesn't do anything to fix the fundamental combinatorial explosion in large join problems, but it should push out the threshold of pain a bit further. Note: because this changes the order in which joinrel lists are built, it might result in changes in selected plans in cases where different alternatives have exactly the same costs. There is one example in the regression tests.
Diffstat (limited to 'src')
-rw-r--r--src/backend/nodes/outfuncs.c3
-rw-r--r--src/backend/optimizer/geqo/geqo_eval.c5
-rw-r--r--src/backend/optimizer/path/allpaths.c34
-rw-r--r--src/backend/optimizer/path/joinrels.c111
-rw-r--r--src/backend/optimizer/plan/planmain.c4
-rw-r--r--src/backend/optimizer/util/relnode.c16
-rw-r--r--src/include/nodes/relation.h12
-rw-r--r--src/include/optimizer/paths.h5
-rw-r--r--src/test/regress/expected/join.out1540
9 files changed, 870 insertions, 860 deletions
diff --git a/src/backend/nodes/outfuncs.c b/src/backend/nodes/outfuncs.c
index 4e1c96271a9..69096759504 100644
--- a/src/backend/nodes/outfuncs.c
+++ b/src/backend/nodes/outfuncs.c
@@ -8,7 +8,7 @@
*
*
* IDENTIFICATION
- * $PostgreSQL: pgsql/src/backend/nodes/outfuncs.c,v 1.372 2009/11/15 02:45:34 tgl Exp $
+ * $PostgreSQL: pgsql/src/backend/nodes/outfuncs.c,v 1.373 2009/11/28 00:46:18 tgl Exp $
*
* NOTES
* Every node type that can appear in stored rules' parsetrees *must*
@@ -1544,6 +1544,7 @@ _outPlannerInfo(StringInfo str, PlannerInfo *node)
WRITE_NODE_FIELD(glob);
WRITE_UINT_FIELD(query_level);
WRITE_NODE_FIELD(join_rel_list);
+ WRITE_INT_FIELD(join_cur_level);
WRITE_NODE_FIELD(resultRelations);
WRITE_NODE_FIELD(init_plans);
WRITE_NODE_FIELD(cte_plan_ids);
diff --git a/src/backend/optimizer/geqo/geqo_eval.c b/src/backend/optimizer/geqo/geqo_eval.c
index ea74abdde5e..1e6428e5871 100644
--- a/src/backend/optimizer/geqo/geqo_eval.c
+++ b/src/backend/optimizer/geqo/geqo_eval.c
@@ -6,7 +6,7 @@
* Portions Copyright (c) 1996-2009, PostgreSQL Global Development Group
* Portions Copyright (c) 1994, Regents of the University of California
*
- * $PostgreSQL: pgsql/src/backend/optimizer/geqo/geqo_eval.c,v 1.90 2009/07/19 21:00:43 tgl Exp $
+ * $PostgreSQL: pgsql/src/backend/optimizer/geqo/geqo_eval.c,v 1.91 2009/11/28 00:46:18 tgl Exp $
*
*-------------------------------------------------------------------------
*/
@@ -88,9 +88,12 @@ geqo_eval(PlannerInfo *root, Gene *tour, int num_gene)
* is one. We can do this by just temporarily setting the link to NULL.
* (If we are dealing with enough join rels, which we very likely are, a
* new hash table will get built and used locally.)
+ *
+ * join_rel_level[] shouldn't be in use, so just Assert it isn't.
*/
savelength = list_length(root->join_rel_list);
savehash = root->join_rel_hash;
+ Assert(root->join_rel_level == NULL);
root->join_rel_hash = NULL;
diff --git a/src/backend/optimizer/path/allpaths.c b/src/backend/optimizer/path/allpaths.c
index bdc77662bff..e7c6fdf40ac 100644
--- a/src/backend/optimizer/path/allpaths.c
+++ b/src/backend/optimizer/path/allpaths.c
@@ -8,7 +8,7 @@
*
*
* IDENTIFICATION
- * $PostgreSQL: pgsql/src/backend/optimizer/path/allpaths.c,v 1.190 2009/11/22 14:54:31 heikki Exp $
+ * $PostgreSQL: pgsql/src/backend/optimizer/path/allpaths.c,v 1.191 2009/11/28 00:46:19 tgl Exp $
*
*-------------------------------------------------------------------------
*/
@@ -898,41 +898,47 @@ make_rel_from_joinlist(PlannerInfo *root, List *joinlist)
RelOptInfo *
standard_join_search(PlannerInfo *root, int levels_needed, List *initial_rels)
{
- List **joinitems;
int lev;
RelOptInfo *rel;
/*
+ * This function cannot be invoked recursively within any one planning
+ * problem, so join_rel_level[] can't be in use already.
+ */
+ Assert(root->join_rel_level == NULL);
+
+ /*
* We employ a simple "dynamic programming" algorithm: we first find all
* ways to build joins of two jointree items, then all ways to build joins
* of three items (from two-item joins and single items), then four-item
* joins, and so on until we have considered all ways to join all the
* items into one rel.
*
- * joinitems[j] is a list of all the j-item rels. Initially we set
- * joinitems[1] to represent all the single-jointree-item relations.
+ * root->join_rel_level[j] is a list of all the j-item rels. Initially we
+ * set root->join_rel_level[1] to represent all the single-jointree-item
+ * relations.
*/
- joinitems = (List **) palloc0((levels_needed + 1) * sizeof(List *));
+ root->join_rel_level = (List **) palloc0((levels_needed + 1) * sizeof(List *));
- joinitems[1] = initial_rels;
+ root->join_rel_level[1] = initial_rels;
for (lev = 2; lev <= levels_needed; lev++)
{
- ListCell *x;
+ ListCell *lc;
/*
* Determine all possible pairs of relations to be joined at this
* level, and build paths for making each one from every available
* pair of lower-level relations.
*/
- joinitems[lev] = join_search_one_level(root, lev, joinitems);
+ join_search_one_level(root, lev);
/*
* Do cleanup work on each just-processed rel.
*/
- foreach(x, joinitems[lev])
+ foreach(lc, root->join_rel_level[lev])
{
- rel = (RelOptInfo *) lfirst(x);
+ rel = (RelOptInfo *) lfirst(lc);
/* Find and save the cheapest paths for this rel */
set_cheapest(rel);
@@ -946,11 +952,13 @@ standard_join_search(PlannerInfo *root, int levels_needed, List *initial_rels)
/*
* We should have a single rel at the final level.
*/
- if (joinitems[levels_needed] == NIL)
+ if (root->join_rel_level[levels_needed] == NIL)
elog(ERROR, "failed to build any %d-way joins", levels_needed);
- Assert(list_length(joinitems[levels_needed]) == 1);
+ Assert(list_length(root->join_rel_level[levels_needed]) == 1);
+
+ rel = (RelOptInfo *) linitial(root->join_rel_level[levels_needed]);
- rel = (RelOptInfo *) linitial(joinitems[levels_needed]);
+ root->join_rel_level = NULL;
return rel;
}
diff --git a/src/backend/optimizer/path/joinrels.c b/src/backend/optimizer/path/joinrels.c
index 49e8a1222aa..ee43326f13e 100644
--- a/src/backend/optimizer/path/joinrels.c
+++ b/src/backend/optimizer/path/joinrels.c
@@ -8,7 +8,7 @@
*
*
* IDENTIFICATION
- * $PostgreSQL: pgsql/src/backend/optimizer/path/joinrels.c,v 1.102 2009/07/23 17:42:06 tgl Exp $
+ * $PostgreSQL: pgsql/src/backend/optimizer/path/joinrels.c,v 1.103 2009/11/28 00:46:19 tgl Exp $
*
*-------------------------------------------------------------------------
*/
@@ -19,10 +19,10 @@
#include "optimizer/paths.h"
-static List *make_rels_by_clause_joins(PlannerInfo *root,
+static void make_rels_by_clause_joins(PlannerInfo *root,
RelOptInfo *old_rel,
ListCell *other_rels);
-static List *make_rels_by_clauseless_joins(PlannerInfo *root,
+static void make_rels_by_clauseless_joins(PlannerInfo *root,
RelOptInfo *old_rel,
ListCell *other_rels);
static bool has_join_restriction(PlannerInfo *root, RelOptInfo *rel);
@@ -40,17 +40,23 @@ static bool restriction_is_constant_false(List *restrictlist);
* combination of lower-level rels are created and returned in a list.
* Implementation paths are created for each such joinrel, too.
*
- * level: level of rels we want to make this time.
- * joinrels[j], 1 <= j < level, is a list of rels containing j items.
+ * level: level of rels we want to make this time
+ * root->join_rel_level[j], 1 <= j < level, is a list of rels containing j items
+ *
+ * The result is returned in root->join_rel_level[level].
*/
-List *
-join_search_one_level(PlannerInfo *root, int level, List **joinrels)
+void
+join_search_one_level(PlannerInfo *root, int level)
{
- List *result_rels = NIL;
- List *new_rels;
+ List **joinrels = root->join_rel_level;
ListCell *r;
int k;
+ Assert(joinrels[level] == NIL);
+
+ /* Set join_cur_level so that new joinrels are added to proper list */
+ root->join_cur_level = level;
+
/*
* First, consider left-sided and right-sided plans, in which rels of
* exactly level-1 member relations are joined against initial relations.
@@ -88,9 +94,9 @@ join_search_one_level(PlannerInfo *root, int level, List **joinrels)
*
* See also the last-ditch case below.
*/
- new_rels = make_rels_by_clause_joins(root,
- old_rel,
- other_rels);
+ make_rels_by_clause_joins(root,
+ old_rel,
+ other_rels);
}
else
{
@@ -99,20 +105,10 @@ join_search_one_level(PlannerInfo *root, int level, List **joinrels)
* relation, either directly or by join-order restrictions.
* Cartesian product time.
*/
- new_rels = make_rels_by_clauseless_joins(root,
- old_rel,
- other_rels);
+ make_rels_by_clauseless_joins(root,
+ old_rel,
+ other_rels);
}
-
- /*
- * At levels above 2 we will generate the same joined relation in
- * multiple ways --- for example (a join b) join c is the same
- * RelOptInfo as (b join c) join a, though the second case will add a
- * different set of Paths to it. To avoid making extra work for
- * subsequent passes, do not enter the same RelOptInfo into our output
- * list multiple times.
- */
- result_rels = list_concat_unique_ptr(result_rels, new_rels);
}
/*
@@ -168,13 +164,7 @@ join_search_one_level(PlannerInfo *root, int level, List **joinrels)
if (have_relevant_joinclause(root, old_rel, new_rel) ||
have_join_order_restriction(root, old_rel, new_rel))
{
- RelOptInfo *jrel;
-
- jrel = make_join_rel(root, old_rel, new_rel);
- /* Avoid making duplicate entries ... */
- if (jrel)
- result_rels = list_append_unique_ptr(result_rels,
- jrel);
+ (void) make_join_rel(root, old_rel, new_rel);
}
}
}
@@ -193,7 +183,7 @@ join_search_one_level(PlannerInfo *root, int level, List **joinrels)
* choice but to make cartesian joins. We consider only left-sided and
* right-sided cartesian joins in this case (no bushy).
*/
- if (result_rels == NIL)
+ if (joinrels[level] == NIL)
{
/*
* This loop is just like the first one, except we always call
@@ -211,11 +201,9 @@ join_search_one_level(PlannerInfo *root, int level, List **joinrels)
other_rels = list_head(joinrels[1]); /* consider all initial
* rels */
- new_rels = make_rels_by_clauseless_joins(root,
- old_rel,
- other_rels);
-
- result_rels = list_concat_unique_ptr(result_rels, new_rels);
+ make_rels_by_clauseless_joins(root,
+ old_rel,
+ other_rels);
}
/*----------
@@ -235,11 +223,9 @@ join_search_one_level(PlannerInfo *root, int level, List **joinrels)
* never fail, and so the following sanity check is useful.
*----------
*/
- if (result_rels == NIL && root->join_info_list == NIL)
+ if (joinrels[level] == NIL && root->join_info_list == NIL)
elog(ERROR, "failed to build any %d-way joins", level);
}
-
- return result_rels;
}
/*
@@ -247,7 +233,13 @@ join_search_one_level(PlannerInfo *root, int level, List **joinrels)
* Build joins between the given relation 'old_rel' and other relations
* that participate in join clauses that 'old_rel' also participates in
* (or participate in join-order restrictions with it).
- * The join rel nodes are returned in a list.
+ * The join rels are returned in root->join_rel_level[join_cur_level].
+ *
+ * Note: at levels above 2 we will generate the same joined relation in
+ * multiple ways --- for example (a join b) join c is the same RelOptInfo as
+ * (b join c) join a, though the second case will add a different set of Paths
+ * to it. This is the reason for using the join_rel_level mechanism, which
+ * automatically ensures that each new joinrel is only added to the list once.
*
* 'old_rel' is the relation entry for the relation to be joined
* 'other_rels': the first cell in a linked list containing the other
@@ -256,12 +248,11 @@ join_search_one_level(PlannerInfo *root, int level, List **joinrels)
* Currently, this is only used with initial rels in other_rels, but it
* will work for joining to joinrels too.
*/
-static List *
+static void
make_rels_by_clause_joins(PlannerInfo *root,
RelOptInfo *old_rel,
ListCell *other_rels)
{
- List *result = NIL;
ListCell *l;
for_each_cell(l, other_rels)
@@ -272,15 +263,9 @@ make_rels_by_clause_joins(PlannerInfo *root,
(have_relevant_joinclause(root, old_rel, other_rel) ||
have_join_order_restriction(root, old_rel, other_rel)))
{
- RelOptInfo *jrel;
-
- jrel = make_join_rel(root, old_rel, other_rel);
- if (jrel)
- result = lcons(jrel, result);
+ (void) make_join_rel(root, old_rel, other_rel);
}
}
-
- return result;
}
/*
@@ -288,7 +273,7 @@ make_rels_by_clause_joins(PlannerInfo *root,
* Given a relation 'old_rel' and a list of other relations
* 'other_rels', create a join relation between 'old_rel' and each
* member of 'other_rels' that isn't already included in 'old_rel'.
- * The join rel nodes are returned in a list.
+ * The join rels are returned in root->join_rel_level[join_cur_level].
*
* 'old_rel' is the relation entry for the relation to be joined
* 'other_rels': the first cell of a linked list containing the
@@ -297,34 +282,22 @@ make_rels_by_clause_joins(PlannerInfo *root,
* Currently, this is only used with initial rels in other_rels, but it would
* work for joining to joinrels too.
*/
-static List *
+static void
make_rels_by_clauseless_joins(PlannerInfo *root,
RelOptInfo *old_rel,
ListCell *other_rels)
{
- List *result = NIL;
- ListCell *i;
+ ListCell *l;
- for_each_cell(i, other_rels)
+ for_each_cell(l, other_rels)
{
- RelOptInfo *other_rel = (RelOptInfo *) lfirst(i);
+ RelOptInfo *other_rel = (RelOptInfo *) lfirst(l);
if (!bms_overlap(other_rel->relids, old_rel->relids))
{
- RelOptInfo *jrel;
-
- jrel = make_join_rel(root, old_rel, other_rel);
-
- /*
- * As long as given other_rels are distinct, don't need to test to
- * see if jrel is already part of output list.
- */
- if (jrel)
- result = lcons(jrel, result);
+ (void) make_join_rel(root, old_rel, other_rel);
}
}
-
- return result;
}
diff --git a/src/backend/optimizer/plan/planmain.c b/src/backend/optimizer/plan/planmain.c
index 0b75d150ab9..8492b11551e 100644
--- a/src/backend/optimizer/plan/planmain.c
+++ b/src/backend/optimizer/plan/planmain.c
@@ -14,7 +14,7 @@
*
*
* IDENTIFICATION
- * $PostgreSQL: pgsql/src/backend/optimizer/plan/planmain.c,v 1.115 2009/06/11 14:48:59 momjian Exp $
+ * $PostgreSQL: pgsql/src/backend/optimizer/plan/planmain.c,v 1.116 2009/11/28 00:46:19 tgl Exp $
*
*-------------------------------------------------------------------------
*/
@@ -142,6 +142,8 @@ query_planner(PlannerInfo *root, List *tlist,
palloc0(root->simple_rel_array_size * sizeof(RelOptInfo *));
root->join_rel_list = NIL;
root->join_rel_hash = NULL;
+ root->join_rel_level = NULL;
+ root->join_cur_level = 0;
root->canon_pathkeys = NIL;
root->left_join_clauses = NIL;
root->right_join_clauses = NIL;
diff --git a/src/backend/optimizer/util/relnode.c b/src/backend/optimizer/util/relnode.c
index 58505949331..70c3dc81ab4 100644
--- a/src/backend/optimizer/util/relnode.c
+++ b/src/backend/optimizer/util/relnode.c
@@ -8,7 +8,7 @@
*
*
* IDENTIFICATION
- * $PostgreSQL: pgsql/src/backend/optimizer/util/relnode.c,v 1.95 2009/10/12 18:10:48 tgl Exp $
+ * $PostgreSQL: pgsql/src/backend/optimizer/util/relnode.c,v 1.96 2009/11/28 00:46:19 tgl Exp $
*
*-------------------------------------------------------------------------
*/
@@ -402,6 +402,20 @@ build_join_rel(PlannerInfo *root,
hentry->join_rel = joinrel;
}
+ /*
+ * Also, if dynamic-programming join search is active, add the new joinrel
+ * to the appropriate sublist. Note: you might think the Assert on
+ * number of members should be for equality, but some of the level 1
+ * rels might have been joinrels already, so we can only assert <=.
+ */
+ if (root->join_rel_level)
+ {
+ Assert(root->join_cur_level > 0);
+ Assert(root->join_cur_level <= bms_num_members(joinrel->relids));
+ root->join_rel_level[root->join_cur_level] =
+ lappend(root->join_rel_level[root->join_cur_level], joinrel);
+ }
+
return joinrel;
}
diff --git a/src/include/nodes/relation.h b/src/include/nodes/relation.h
index d54770eabc4..8738a9924d5 100644
--- a/src/include/nodes/relation.h
+++ b/src/include/nodes/relation.h
@@ -7,7 +7,7 @@
* Portions Copyright (c) 1996-2009, PostgreSQL Global Development Group
* Portions Copyright (c) 1994, Regents of the University of California
*
- * $PostgreSQL: pgsql/src/include/nodes/relation.h,v 1.179 2009/11/15 02:45:35 tgl Exp $
+ * $PostgreSQL: pgsql/src/include/nodes/relation.h,v 1.180 2009/11/28 00:46:19 tgl Exp $
*
*-------------------------------------------------------------------------
*/
@@ -142,6 +142,16 @@ typedef struct PlannerInfo
List *join_rel_list; /* list of join-relation RelOptInfos */
struct HTAB *join_rel_hash; /* optional hashtable for join relations */
+ /*
+ * When doing a dynamic-programming-style join search, join_rel_level[k]
+ * is a list of all join-relation RelOptInfos of level k, and
+ * join_cur_level is the current level. New join-relation RelOptInfos
+ * are automatically added to the join_rel_level[join_cur_level] list.
+ * join_rel_level is NULL if not in use.
+ */
+ List **join_rel_level; /* lists of join-relation RelOptInfos */
+ int join_cur_level; /* index of list being extended */
+
List *resultRelations; /* integer list of RT indexes, or NIL */
List *init_plans; /* init SubPlans for query */
diff --git a/src/include/optimizer/paths.h b/src/include/optimizer/paths.h
index d9e91675f22..4d04406d859 100644
--- a/src/include/optimizer/paths.h
+++ b/src/include/optimizer/paths.h
@@ -7,7 +7,7 @@
* Portions Copyright (c) 1996-2009, PostgreSQL Global Development Group
* Portions Copyright (c) 1994, Regents of the University of California
*
- * $PostgreSQL: pgsql/src/include/optimizer/paths.h,v 1.108 2009/09/17 20:49:29 tgl Exp $
+ * $PostgreSQL: pgsql/src/include/optimizer/paths.h,v 1.109 2009/11/28 00:46:19 tgl Exp $
*
*-------------------------------------------------------------------------
*/
@@ -99,8 +99,7 @@ extern void add_paths_to_joinrel(PlannerInfo *root, RelOptInfo *joinrel,
* joinrels.c
* routines to determine which relations to join
*/
-extern List *join_search_one_level(PlannerInfo *root, int level,
- List **joinrels);
+extern void join_search_one_level(PlannerInfo *root, int level);
extern RelOptInfo *make_join_rel(PlannerInfo *root,
RelOptInfo *rel1, RelOptInfo *rel2);
extern bool have_join_order_restriction(PlannerInfo *root,
diff --git a/src/test/regress/expected/join.out b/src/test/regress/expected/join.out
index 0dc3e569603..fed424cb33b 100644
--- a/src/test/regress/expected/join.out
+++ b/src/test/regress/expected/join.out
@@ -662,895 +662,895 @@ SELECT '' AS "xxx", *
xxx | i | j | t | i | k | i | k
-----+---+---+-------+---+----+---+----
| 1 | 4 | one | 1 | -1 | 1 | -1
- | 1 | 4 | one | 2 | 2 | 1 | -1
- | 1 | 4 | one | 3 | -3 | 1 | -1
- | 1 | 4 | one | 2 | 4 | 1 | -1
- | 1 | 4 | one | 5 | -5 | 1 | -1
- | 1 | 4 | one | 5 | -5 | 1 | -1
- | 1 | 4 | one | 0 | | 1 | -1
- | 1 | 4 | one | | | 1 | -1
- | 1 | 4 | one | | 0 | 1 | -1
+ | 1 | 4 | one | 1 | -1 | 2 | 2
+ | 1 | 4 | one | 1 | -1 | 3 | -3
+ | 1 | 4 | one | 1 | -1 | 2 | 4
+ | 1 | 4 | one | 1 | -1 | 5 | -5
+ | 1 | 4 | one | 1 | -1 | 5 | -5
+ | 1 | 4 | one | 1 | -1 | 0 |
+ | 1 | 4 | one | 1 | -1 | |
+ | 1 | 4 | one | 1 | -1 | | 0
| 2 | 3 | two | 1 | -1 | 1 | -1
- | 2 | 3 | two | 2 | 2 | 1 | -1
- | 2 | 3 | two | 3 | -3 | 1 | -1
- | 2 | 3 | two | 2 | 4 | 1 | -1
- | 2 | 3 | two | 5 | -5 | 1 | -1
- | 2 | 3 | two | 5 | -5 | 1 | -1
- | 2 | 3 | two | 0 | | 1 | -1
- | 2 | 3 | two | | | 1 | -1
- | 2 | 3 | two | | 0 | 1 | -1
+ | 2 | 3 | two | 1 | -1 | 2 | 2
+ | 2 | 3 | two | 1 | -1 | 3 | -3
+ | 2 | 3 | two | 1 | -1 | 2 | 4
+ | 2 | 3 | two | 1 | -1 | 5 | -5
+ | 2 | 3 | two | 1 | -1 | 5 | -5
+ | 2 | 3 | two | 1 | -1 | 0 |
+ | 2 | 3 | two | 1 | -1 | |
+ | 2 | 3 | two | 1 | -1 | | 0
| 3 | 2 | three | 1 | -1 | 1 | -1
- | 3 | 2 | three | 2 | 2 | 1 | -1
- | 3 | 2 | three | 3 | -3 | 1 | -1
- | 3 | 2 | three | 2 | 4 | 1 | -1
- | 3 | 2 | three | 5 | -5 | 1 | -1
- | 3 | 2 | three | 5 | -5 | 1 | -1
- | 3 | 2 | three | 0 | | 1 | -1
- | 3 | 2 | three | | | 1 | -1
- | 3 | 2 | three | | 0 | 1 | -1
+ | 3 | 2 | three | 1 | -1 | 2 | 2
+ | 3 | 2 | three | 1 | -1 | 3 | -3
+ | 3 | 2 | three | 1 | -1 | 2 | 4
+ | 3 | 2 | three | 1 | -1 | 5 | -5
+ | 3 | 2 | three | 1 | -1 | 5 | -5
+ | 3 | 2 | three | 1 | -1 | 0 |
+ | 3 | 2 | three | 1 | -1 | |
+ | 3 | 2 | three | 1 | -1 | | 0
| 4 | 1 | four | 1 | -1 | 1 | -1
- | 4 | 1 | four | 2 | 2 | 1 | -1
- | 4 | 1 | four | 3 | -3 | 1 | -1
- | 4 | 1 | four | 2 | 4 | 1 | -1
- | 4 | 1 | four | 5 | -5 | 1 | -1
- | 4 | 1 | four | 5 | -5 | 1 | -1
- | 4 | 1 | four | 0 | | 1 | -1
- | 4 | 1 | four | | | 1 | -1
- | 4 | 1 | four | | 0 | 1 | -1
+ | 4 | 1 | four | 1 | -1 | 2 | 2
+ | 4 | 1 | four | 1 | -1 | 3 | -3
+ | 4 | 1 | four | 1 | -1 | 2 | 4
+ | 4 | 1 | four | 1 | -1 | 5 | -5
+ | 4 | 1 | four | 1 | -1 | 5 | -5
+ | 4 | 1 | four | 1 | -1 | 0 |
+ | 4 | 1 | four | 1 | -1 | |
+ | 4 | 1 | four | 1 | -1 | | 0
| 5 | 0 | five | 1 | -1 | 1 | -1
- | 5 | 0 | five | 2 | 2 | 1 | -1
- | 5 | 0 | five | 3 | -3 | 1 | -1
- | 5 | 0 | five | 2 | 4 | 1 | -1
- | 5 | 0 | five | 5 | -5 | 1 | -1
- | 5 | 0 | five | 5 | -5 | 1 | -1
- | 5 | 0 | five | 0 | | 1 | -1
- | 5 | 0 | five | | | 1 | -1
- | 5 | 0 | five | | 0 | 1 | -1
+ | 5 | 0 | five | 1 | -1 | 2 | 2
+ | 5 | 0 | five | 1 | -1 | 3 | -3
+ | 5 | 0 | five | 1 | -1 | 2 | 4
+ | 5 | 0 | five | 1 | -1 | 5 | -5
+ | 5 | 0 | five | 1 | -1 | 5 | -5
+ | 5 | 0 | five | 1 | -1 | 0 |
+ | 5 | 0 | five | 1 | -1 | |
+ | 5 | 0 | five | 1 | -1 | | 0
| 6 | 6 | six | 1 | -1 | 1 | -1
- | 6 | 6 | six | 2 | 2 | 1 | -1
- | 6 | 6 | six | 3 | -3 | 1 | -1
- | 6 | 6 | six | 2 | 4 | 1 | -1
- | 6 | 6 | six | 5 | -5 | 1 | -1
- | 6 | 6 | six | 5 | -5 | 1 | -1
- | 6 | 6 | six | 0 | | 1 | -1
- | 6 | 6 | six | | | 1 | -1
- | 6 | 6 | six | | 0 | 1 | -1
+ | 6 | 6 | six | 1 | -1 | 2 | 2
+ | 6 | 6 | six | 1 | -1 | 3 | -3
+ | 6 | 6 | six | 1 | -1 | 2 | 4
+ | 6 | 6 | six | 1 | -1 | 5 | -5
+ | 6 | 6 | six | 1 | -1 | 5 | -5
+ | 6 | 6 | six | 1 | -1 | 0 |
+ | 6 | 6 | six | 1 | -1 | |
+ | 6 | 6 | six | 1 | -1 | | 0
| 7 | 7 | seven | 1 | -1 | 1 | -1
- | 7 | 7 | seven | 2 | 2 | 1 | -1
- | 7 | 7 | seven | 3 | -3 | 1 | -1
- | 7 | 7 | seven | 2 | 4 | 1 | -1
- | 7 | 7 | seven | 5 | -5 | 1 | -1
- | 7 | 7 | seven | 5 | -5 | 1 | -1
- | 7 | 7 | seven | 0 | | 1 | -1
- | 7 | 7 | seven | | | 1 | -1
- | 7 | 7 | seven | | 0 | 1 | -1
+ | 7 | 7 | seven | 1 | -1 | 2 | 2
+ | 7 | 7 | seven | 1 | -1 | 3 | -3
+ | 7 | 7 | seven | 1 | -1 | 2 | 4
+ | 7 | 7 | seven | 1 | -1 | 5 | -5
+ | 7 | 7 | seven | 1 | -1 | 5 | -5
+ | 7 | 7 | seven | 1 | -1 | 0 |
+ | 7 | 7 | seven | 1 | -1 | |
+ | 7 | 7 | seven | 1 | -1 | | 0
| 8 | 8 | eight | 1 | -1 | 1 | -1
- | 8 | 8 | eight | 2 | 2 | 1 | -1
- | 8 | 8 | eight | 3 | -3 | 1 | -1
- | 8 | 8 | eight | 2 | 4 | 1 | -1
- | 8 | 8 | eight | 5 | -5 | 1 | -1
- | 8 | 8 | eight | 5 | -5 | 1 | -1
- | 8 | 8 | eight | 0 | | 1 | -1
- | 8 | 8 | eight | | | 1 | -1
- | 8 | 8 | eight | | 0 | 1 | -1
+ | 8 | 8 | eight | 1 | -1 | 2 | 2
+ | 8 | 8 | eight | 1 | -1 | 3 | -3
+ | 8 | 8 | eight | 1 | -1 | 2 | 4
+ | 8 | 8 | eight | 1 | -1 | 5 | -5
+ | 8 | 8 | eight | 1 | -1 | 5 | -5
+ | 8 | 8 | eight | 1 | -1 | 0 |
+ | 8 | 8 | eight | 1 | -1 | |
+ | 8 | 8 | eight | 1 | -1 | | 0
| 0 | | zero | 1 | -1 | 1 | -1
- | 0 | | zero | 2 | 2 | 1 | -1
- | 0 | | zero | 3 | -3 | 1 | -1
- | 0 | | zero | 2 | 4 | 1 | -1
- | 0 | | zero | 5 | -5 | 1 | -1
- | 0 | | zero | 5 | -5 | 1 | -1
- | 0 | | zero | 0 | | 1 | -1
- | 0 | | zero | | | 1 | -1
- | 0 | | zero | | 0 | 1 | -1
+ | 0 | | zero | 1 | -1 | 2 | 2
+ | 0 | | zero | 1 | -1 | 3 | -3
+ | 0 | | zero | 1 | -1 | 2 | 4
+ | 0 | | zero | 1 | -1 | 5 | -5
+ | 0 | | zero | 1 | -1 | 5 | -5
+ | 0 | | zero | 1 | -1 | 0 |
+ | 0 | | zero | 1 | -1 | |
+ | 0 | | zero | 1 | -1 | | 0
| | | null | 1 | -1 | 1 | -1
- | | | null | 2 | 2 | 1 | -1
- | | | null | 3 | -3 | 1 | -1
- | | | null | 2 | 4 | 1 | -1
- | | | null | 5 | -5 | 1 | -1
- | | | null | 5 | -5 | 1 | -1
- | | | null | 0 | | 1 | -1
- | | | null | | | 1 | -1
- | | | null | | 0 | 1 | -1
+ | | | null | 1 | -1 | 2 | 2
+ | | | null | 1 | -1 | 3 | -3
+ | | | null | 1 | -1 | 2 | 4
+ | | | null | 1 | -1 | 5 | -5
+ | | | null | 1 | -1 | 5 | -5
+ | | | null | 1 | -1 | 0 |
+ | | | null | 1 | -1 | |
+ | | | null | 1 | -1 | | 0
| | 0 | zero | 1 | -1 | 1 | -1
- | | 0 | zero | 2 | 2 | 1 | -1
- | | 0 | zero | 3 | -3 | 1 | -1
- | | 0 | zero | 2 | 4 | 1 | -1
- | | 0 | zero | 5 | -5 | 1 | -1
- | | 0 | zero | 5 | -5 | 1 | -1
- | | 0 | zero | 0 | | 1 | -1
- | | 0 | zero | | | 1 | -1
- | | 0 | zero | | 0 | 1 | -1
- | 1 | 4 | one | 1 | -1 | 2 | 2
+ | | 0 | zero | 1 | -1 | 2 | 2
+ | | 0 | zero | 1 | -1 | 3 | -3
+ | | 0 | zero | 1 | -1 | 2 | 4
+ | | 0 | zero | 1 | -1 | 5 | -5
+ | | 0 | zero | 1 | -1 | 5 | -5
+ | | 0 | zero | 1 | -1 | 0 |
+ | | 0 | zero | 1 | -1 | |
+ | | 0 | zero | 1 | -1 | | 0
+ | 1 | 4 | one | 2 | 2 | 1 | -1
| 1 | 4 | one | 2 | 2 | 2 | 2
- | 1 | 4 | one | 3 | -3 | 2 | 2
- | 1 | 4 | one | 2 | 4 | 2 | 2
- | 1 | 4 | one | 5 | -5 | 2 | 2
- | 1 | 4 | one | 5 | -5 | 2 | 2
- | 1 | 4 | one | 0 | | 2 | 2
- | 1 | 4 | one | | | 2 | 2
- | 1 | 4 | one | | 0 | 2 | 2
- | 2 | 3 | two | 1 | -1 | 2 | 2
+ | 1 | 4 | one | 2 | 2 | 3 | -3
+ | 1 | 4 | one | 2 | 2 | 2 | 4
+ | 1 | 4 | one | 2 | 2 | 5 | -5
+ | 1 | 4 | one | 2 | 2 | 5 | -5
+ | 1 | 4 | one | 2 | 2 | 0 |
+ | 1 | 4 | one | 2 | 2 | |
+ | 1 | 4 | one | 2 | 2 | | 0
+ | 2 | 3 | two | 2 | 2 | 1 | -1
| 2 | 3 | two | 2 | 2 | 2 | 2
- | 2 | 3 | two | 3 | -3 | 2 | 2
- | 2 | 3 | two | 2 | 4 | 2 | 2
- | 2 | 3 | two | 5 | -5 | 2 | 2
- | 2 | 3 | two | 5 | -5 | 2 | 2
- | 2 | 3 | two | 0 | | 2 | 2
- | 2 | 3 | two | | | 2 | 2
- | 2 | 3 | two | | 0 | 2 | 2
- | 3 | 2 | three | 1 | -1 | 2 | 2
+ | 2 | 3 | two | 2 | 2 | 3 | -3
+ | 2 | 3 | two | 2 | 2 | 2 | 4
+ | 2 | 3 | two | 2 | 2 | 5 | -5
+ | 2 | 3 | two | 2 | 2 | 5 | -5
+ | 2 | 3 | two | 2 | 2 | 0 |
+ | 2 | 3 | two | 2 | 2 | |
+ | 2 | 3 | two | 2 | 2 | | 0
+ | 3 | 2 | three | 2 | 2 | 1 | -1
| 3 | 2 | three | 2 | 2 | 2 | 2
- | 3 | 2 | three | 3 | -3 | 2 | 2
- | 3 | 2 | three | 2 | 4 | 2 | 2
- | 3 | 2 | three | 5 | -5 | 2 | 2
- | 3 | 2 | three | 5 | -5 | 2 | 2
- | 3 | 2 | three | 0 | | 2 | 2
- | 3 | 2 | three | | | 2 | 2
- | 3 | 2 | three | | 0 | 2 | 2
- | 4 | 1 | four | 1 | -1 | 2 | 2
+ | 3 | 2 | three | 2 | 2 | 3 | -3
+ | 3 | 2 | three | 2 | 2 | 2 | 4
+ | 3 | 2 | three | 2 | 2 | 5 | -5
+ | 3 | 2 | three | 2 | 2 | 5 | -5
+ | 3 | 2 | three | 2 | 2 | 0 |
+ | 3 | 2 | three | 2 | 2 | |
+ | 3 | 2 | three | 2 | 2 | | 0
+ | 4 | 1 | four | 2 | 2 | 1 | -1
| 4 | 1 | four | 2 | 2 | 2 | 2
- | 4 | 1 | four | 3 | -3 | 2 | 2
- | 4 | 1 | four | 2 | 4 | 2 | 2
- | 4 | 1 | four | 5 | -5 | 2 | 2
- | 4 | 1 | four | 5 | -5 | 2 | 2
- | 4 | 1 | four | 0 | | 2 | 2
- | 4 | 1 | four | | | 2 | 2
- | 4 | 1 | four | | 0 | 2 | 2
- | 5 | 0 | five | 1 | -1 | 2 | 2
+ | 4 | 1 | four | 2 | 2 | 3 | -3
+ | 4 | 1 | four | 2 | 2 | 2 | 4
+ | 4 | 1 | four | 2 | 2 | 5 | -5
+ | 4 | 1 | four | 2 | 2 | 5 | -5
+ | 4 | 1 | four | 2 | 2 | 0 |
+ | 4 | 1 | four | 2 | 2 | |
+ | 4 | 1 | four | 2 | 2 | | 0
+ | 5 | 0 | five | 2 | 2 | 1 | -1
| 5 | 0 | five | 2 | 2 | 2 | 2
- | 5 | 0 | five | 3 | -3 | 2 | 2
- | 5 | 0 | five | 2 | 4 | 2 | 2
- | 5 | 0 | five | 5 | -5 | 2 | 2
- | 5 | 0 | five | 5 | -5 | 2 | 2
- | 5 | 0 | five | 0 | | 2 | 2
- | 5 | 0 | five | | | 2 | 2
- | 5 | 0 | five | | 0 | 2 | 2
- | 6 | 6 | six | 1 | -1 | 2 | 2
+ | 5 | 0 | five | 2 | 2 | 3 | -3
+ | 5 | 0 | five | 2 | 2 | 2 | 4
+ | 5 | 0 | five | 2 | 2 | 5 | -5
+ | 5 | 0 | five | 2 | 2 | 5 | -5
+ | 5 | 0 | five | 2 | 2 | 0 |
+ | 5 | 0 | five | 2 | 2 | |
+ | 5 | 0 | five | 2 | 2 | | 0
+ | 6 | 6 | six | 2 | 2 | 1 | -1
| 6 | 6 | six | 2 | 2 | 2 | 2
- | 6 | 6 | six | 3 | -3 | 2 | 2
- | 6 | 6 | six | 2 | 4 | 2 | 2
- | 6 | 6 | six | 5 | -5 | 2 | 2
- | 6 | 6 | six | 5 | -5 | 2 | 2
- | 6 | 6 | six | 0 | | 2 | 2
- | 6 | 6 | six | | | 2 | 2
- | 6 | 6 | six | | 0 | 2 | 2
- | 7 | 7 | seven | 1 | -1 | 2 | 2
+ | 6 | 6 | six | 2 | 2 | 3 | -3
+ | 6 | 6 | six | 2 | 2 | 2 | 4
+ | 6 | 6 | six | 2 | 2 | 5 | -5
+ | 6 | 6 | six | 2 | 2 | 5 | -5
+ | 6 | 6 | six | 2 | 2 | 0 |
+ | 6 | 6 | six | 2 | 2 | |
+ | 6 | 6 | six | 2 | 2 | | 0
+ | 7 | 7 | seven | 2 | 2 | 1 | -1
| 7 | 7 | seven | 2 | 2 | 2 | 2
- | 7 | 7 | seven | 3 | -3 | 2 | 2
- | 7 | 7 | seven | 2 | 4 | 2 | 2
- | 7 | 7 | seven | 5 | -5 | 2 | 2
- | 7 | 7 | seven | 5 | -5 | 2 | 2
- | 7 | 7 | seven | 0 | | 2 | 2
- | 7 | 7 | seven | | | 2 | 2
- | 7 | 7 | seven | | 0 | 2 | 2
- | 8 | 8 | eight | 1 | -1 | 2 | 2
+ | 7 | 7 | seven | 2 | 2 | 3 | -3
+ | 7 | 7 | seven | 2 | 2 | 2 | 4
+ | 7 | 7 | seven | 2 | 2 | 5 | -5
+ | 7 | 7 | seven | 2 | 2 | 5 | -5
+ | 7 | 7 | seven | 2 | 2 | 0 |
+ | 7 | 7 | seven | 2 | 2 | |
+ | 7 | 7 | seven | 2 | 2 | | 0
+ | 8 | 8 | eight | 2 | 2 | 1 | -1
| 8 | 8 | eight | 2 | 2 | 2 | 2
- | 8 | 8 | eight | 3 | -3 | 2 | 2
- | 8 | 8 | eight | 2 | 4 | 2 | 2
- | 8 | 8 | eight | 5 | -5 | 2 | 2
- | 8 | 8 | eight | 5 | -5 | 2 | 2
- | 8 | 8 | eight | 0 | | 2 | 2
- | 8 | 8 | eight | | | 2 | 2
- | 8 | 8 | eight | | 0 | 2 | 2
- | 0 | | zero | 1 | -1 | 2 | 2
+ | 8 | 8 | eight | 2 | 2 | 3 | -3
+ | 8 | 8 | eight | 2 | 2 | 2 | 4
+ | 8 | 8 | eight | 2 | 2 | 5 | -5
+ | 8 | 8 | eight | 2 | 2 | 5 | -5
+ | 8 | 8 | eight | 2 | 2 | 0 |
+ | 8 | 8 | eight | 2 | 2 | |
+ | 8 | 8 | eight | 2 | 2 | | 0
+ | 0 | | zero | 2 | 2 | 1 | -1
| 0 | | zero | 2 | 2 | 2 | 2
- | 0 | | zero | 3 | -3 | 2 | 2
- | 0 | | zero | 2 | 4 | 2 | 2
- | 0 | | zero | 5 | -5 | 2 | 2
- | 0 | | zero | 5 | -5 | 2 | 2
- | 0 | | zero | 0 | | 2 | 2
- | 0 | | zero | | | 2 | 2
- | 0 | | zero | | 0 | 2 | 2
- | | | null | 1 | -1 | 2 | 2
+ | 0 | | zero | 2 | 2 | 3 | -3
+ | 0 | | zero | 2 | 2 | 2 | 4
+ | 0 | | zero | 2 | 2 | 5 | -5
+ | 0 | | zero | 2 | 2 | 5 | -5
+ | 0 | | zero | 2 | 2 | 0 |
+ | 0 | | zero | 2 | 2 | |
+ | 0 | | zero | 2 | 2 | | 0
+ | | | null | 2 | 2 | 1 | -1
| | | null | 2 | 2 | 2 | 2
- | | | null | 3 | -3 | 2 | 2
- | | | null | 2 | 4 | 2 | 2
- | | | null | 5 | -5 | 2 | 2
- | | | null | 5 | -5 | 2 | 2
- | | | null | 0 | | 2 | 2
- | | | null | | | 2 | 2
- | | | null | | 0 | 2 | 2
- | | 0 | zero | 1 | -1 | 2 | 2
+ | | | null | 2 | 2 | 3 | -3
+ | | | null | 2 | 2 | 2 | 4
+ | | | null | 2 | 2 | 5 | -5
+ | | | null | 2 | 2 | 5 | -5
+ | | | null | 2 | 2 | 0 |
+ | | | null | 2 | 2 | |
+ | | | null | 2 | 2 | | 0
+ | | 0 | zero | 2 | 2 | 1 | -1
| | 0 | zero | 2 | 2 | 2 | 2
- | | 0 | zero | 3 | -3 | 2 | 2
- | | 0 | zero | 2 | 4 | 2 | 2
- | | 0 | zero | 5 | -5 | 2 | 2
- | | 0 | zero | 5 | -5 | 2 | 2
- | | 0 | zero | 0 | | 2 | 2
- | | 0 | zero | | | 2 | 2
- | | 0 | zero | | 0 | 2 | 2
- | 1 | 4 | one | 1 | -1 | 3 | -3
- | 1 | 4 | one | 2 | 2 | 3 | -3
+ | | 0 | zero | 2 | 2 | 3 | -3
+ | | 0 | zero | 2 | 2 | 2 | 4
+ | | 0 | zero | 2 | 2 | 5 | -5
+ | | 0 | zero | 2 | 2 | 5 | -5
+ | | 0 | zero | 2 | 2 | 0 |
+ | | 0 | zero | 2 | 2 | |
+ | | 0 | zero | 2 | 2 | | 0
+ | 1 | 4 | one | 3 | -3 | 1 | -1
+ | 1 | 4 | one | 3 | -3 | 2 | 2
| 1 | 4 | one | 3 | -3 | 3 | -3
- | 1 | 4 | one | 2 | 4 | 3 | -3
- | 1 | 4 | one | 5 | -5 | 3 | -3
- | 1 | 4 | one | 5 | -5 | 3 | -3
- | 1 | 4 | one | 0 | | 3 | -3
- | 1 | 4 | one | | | 3 | -3
- | 1 | 4 | one | | 0 | 3 | -3
- | 2 | 3 | two | 1 | -1 | 3 | -3
- | 2 | 3 | two | 2 | 2 | 3 | -3
+ | 1 | 4 | one | 3 | -3 | 2 | 4
+ | 1 | 4 | one | 3 | -3 | 5 | -5
+ | 1 | 4 | one | 3 | -3 | 5 | -5
+ | 1 | 4 | one | 3 | -3 | 0 |
+ | 1 | 4 | one | 3 | -3 | |
+ | 1 | 4 | one | 3 | -3 | | 0
+ | 2 | 3 | two | 3 | -3 | 1 | -1
+ | 2 | 3 | two | 3 | -3 | 2 | 2
| 2 | 3 | two | 3 | -3 | 3 | -3
- | 2 | 3 | two | 2 | 4 | 3 | -3
- | 2 | 3 | two | 5 | -5 | 3 | -3
- | 2 | 3 | two | 5 | -5 | 3 | -3
- | 2 | 3 | two | 0 | | 3 | -3
- | 2 | 3 | two | | | 3 | -3
- | 2 | 3 | two | | 0 | 3 | -3
- | 3 | 2 | three | 1 | -1 | 3 | -3
- | 3 | 2 | three | 2 | 2 | 3 | -3
+ | 2 | 3 | two | 3 | -3 | 2 | 4
+ | 2 | 3 | two | 3 | -3 | 5 | -5
+ | 2 | 3 | two | 3 | -3 | 5 | -5
+ | 2 | 3 | two | 3 | -3 | 0 |
+ | 2 | 3 | two | 3 | -3 | |
+ | 2 | 3 | two | 3 | -3 | | 0
+ | 3 | 2 | three | 3 | -3 | 1 | -1
+ | 3 | 2 | three | 3 | -3 | 2 | 2
| 3 | 2 | three | 3 | -3 | 3 | -3
- | 3 | 2 | three | 2 | 4 | 3 | -3
- | 3 | 2 | three | 5 | -5 | 3 | -3
- | 3 | 2 | three | 5 | -5 | 3 | -3
- | 3 | 2 | three | 0 | | 3 | -3
- | 3 | 2 | three | | | 3 | -3
- | 3 | 2 | three | | 0 | 3 | -3
- | 4 | 1 | four | 1 | -1 | 3 | -3
- | 4 | 1 | four | 2 | 2 | 3 | -3
+ | 3 | 2 | three | 3 | -3 | 2 | 4
+ | 3 | 2 | three | 3 | -3 | 5 | -5
+ | 3 | 2 | three | 3 | -3 | 5 | -5
+ | 3 | 2 | three | 3 | -3 | 0 |
+ | 3 | 2 | three | 3 | -3 | |
+ | 3 | 2 | three | 3 | -3 | | 0
+ | 4 | 1 | four | 3 | -3 | 1 | -1
+ | 4 | 1 | four | 3 | -3 | 2 | 2
| 4 | 1 | four | 3 | -3 | 3 | -3
- | 4 | 1 | four | 2 | 4 | 3 | -3
- | 4 | 1 | four | 5 | -5 | 3 | -3
- | 4 | 1 | four | 5 | -5 | 3 | -3
- | 4 | 1 | four | 0 | | 3 | -3
- | 4 | 1 | four | | | 3 | -3
- | 4 | 1 | four | | 0 | 3 | -3
- | 5 | 0 | five | 1 | -1 | 3 | -3
- | 5 | 0 | five | 2 | 2 | 3 | -3
+ | 4 | 1 | four | 3 | -3 | 2 | 4
+ | 4 | 1 | four | 3 | -3 | 5 | -5
+ | 4 | 1 | four | 3 | -3 | 5 | -5
+ | 4 | 1 | four | 3 | -3 | 0 |
+ | 4 | 1 | four | 3 | -3 | |
+ | 4 | 1 | four | 3 | -3 | | 0
+ | 5 | 0 | five | 3 | -3 | 1 | -1
+ | 5 | 0 | five | 3 | -3 | 2 | 2
| 5 | 0 | five | 3 | -3 | 3 | -3
- | 5 | 0 | five | 2 | 4 | 3 | -3
- | 5 | 0 | five | 5 | -5 | 3 | -3
- | 5 | 0 | five | 5 | -5 | 3 | -3
- | 5 | 0 | five | 0 | | 3 | -3
- | 5 | 0 | five | | | 3 | -3
- | 5 | 0 | five | | 0 | 3 | -3
- | 6 | 6 | six | 1 | -1 | 3 | -3
- | 6 | 6 | six | 2 | 2 | 3 | -3
+ | 5 | 0 | five | 3 | -3 | 2 | 4
+ | 5 | 0 | five | 3 | -3 | 5 | -5
+ | 5 | 0 | five | 3 | -3 | 5 | -5
+ | 5 | 0 | five | 3 | -3 | 0 |
+ | 5 | 0 | five | 3 | -3 | |
+ | 5 | 0 | five | 3 | -3 | | 0
+ | 6 | 6 | six | 3 | -3 | 1 | -1
+ | 6 | 6 | six | 3 | -3 | 2 | 2
| 6 | 6 | six | 3 | -3 | 3 | -3
- | 6 | 6 | six | 2 | 4 | 3 | -3
- | 6 | 6 | six | 5 | -5 | 3 | -3
- | 6 | 6 | six | 5 | -5 | 3 | -3
- | 6 | 6 | six | 0 | | 3 | -3
- | 6 | 6 | six | | | 3 | -3
- | 6 | 6 | six | | 0 | 3 | -3
- | 7 | 7 | seven | 1 | -1 | 3 | -3
- | 7 | 7 | seven | 2 | 2 | 3 | -3
+ | 6 | 6 | six | 3 | -3 | 2 | 4
+ | 6 | 6 | six | 3 | -3 | 5 | -5
+ | 6 | 6 | six | 3 | -3 | 5 | -5
+ | 6 | 6 | six | 3 | -3 | 0 |
+ | 6 | 6 | six | 3 | -3 | |
+ | 6 | 6 | six | 3 | -3 | | 0
+ | 7 | 7 | seven | 3 | -3 | 1 | -1
+ | 7 | 7 | seven | 3 | -3 | 2 | 2
| 7 | 7 | seven | 3 | -3 | 3 | -3
- | 7 | 7 | seven | 2 | 4 | 3 | -3
- | 7 | 7 | seven | 5 | -5 | 3 | -3
- | 7 | 7 | seven | 5 | -5 | 3 | -3
- | 7 | 7 | seven | 0 | | 3 | -3
- | 7 | 7 | seven | | | 3 | -3
- | 7 | 7 | seven | | 0 | 3 | -3
- | 8 | 8 | eight | 1 | -1 | 3 | -3
- | 8 | 8 | eight | 2 | 2 | 3 | -3
+ | 7 | 7 | seven | 3 | -3 | 2 | 4
+ | 7 | 7 | seven | 3 | -3 | 5 | -5
+ | 7 | 7 | seven | 3 | -3 | 5 | -5
+ | 7 | 7 | seven | 3 | -3 | 0 |
+ | 7 | 7 | seven | 3 | -3 | |
+ | 7 | 7 | seven | 3 | -3 | | 0
+ | 8 | 8 | eight | 3 | -3 | 1 | -1
+ | 8 | 8 | eight | 3 | -3 | 2 | 2
| 8 | 8 | eight | 3 | -3 | 3 | -3
- | 8 | 8 | eight | 2 | 4 | 3 | -3
- | 8 | 8 | eight | 5 | -5 | 3 | -3
- | 8 | 8 | eight | 5 | -5 | 3 | -3
- | 8 | 8 | eight | 0 | | 3 | -3
- | 8 | 8 | eight | | | 3 | -3
- | 8 | 8 | eight | | 0 | 3 | -3
- | 0 | | zero | 1 | -1 | 3 | -3
- | 0 | | zero | 2 | 2 | 3 | -3
+ | 8 | 8 | eight | 3 | -3 | 2 | 4
+ | 8 | 8 | eight | 3 | -3 | 5 | -5
+ | 8 | 8 | eight | 3 | -3 | 5 | -5
+ | 8 | 8 | eight | 3 | -3 | 0 |
+ | 8 | 8 | eight | 3 | -3 | |
+ | 8 | 8 | eight | 3 | -3 | | 0
+ | 0 | | zero | 3 | -3 | 1 | -1
+ | 0 | | zero | 3 | -3 | 2 | 2
| 0 | | zero | 3 | -3 | 3 | -3
- | 0 | | zero | 2 | 4 | 3 | -3
- | 0 | | zero | 5 | -5 | 3 | -3
- | 0 | | zero | 5 | -5 | 3 | -3
- | 0 | | zero | 0 | | 3 | -3
- | 0 | | zero | | | 3 | -3
- | 0 | | zero | | 0 | 3 | -3
- | | | null | 1 | -1 | 3 | -3
- | | | null | 2 | 2 | 3 | -3
+ | 0 | | zero | 3 | -3 | 2 | 4
+ | 0 | | zero | 3 | -3 | 5 | -5
+ | 0 | | zero | 3 | -3 | 5 | -5
+ | 0 | | zero | 3 | -3 | 0 |
+ | 0 | | zero | 3 | -3 | |
+ | 0 | | zero | 3 | -3 | | 0
+ | | | null | 3 | -3 | 1 | -1
+ | | | null | 3 | -3 | 2 | 2
| | | null | 3 | -3 | 3 | -3
- | | | null | 2 | 4 | 3 | -3
- | | | null | 5 | -5 | 3 | -3
- | | | null | 5 | -5 | 3 | -3
- | | | null | 0 | | 3 | -3
- | | | null | | | 3 | -3
- | | | null | | 0 | 3 | -3
- | | 0 | zero | 1 | -1 | 3 | -3
- | | 0 | zero | 2 | 2 | 3 | -3
+ | | | null | 3 | -3 | 2 | 4
+ | | | null | 3 | -3 | 5 | -5
+ | | | null | 3 | -3 | 5 | -5
+ | | | null | 3 | -3 | 0 |
+ | | | null | 3 | -3 | |
+ | | | null | 3 | -3 | | 0
+ | | 0 | zero | 3 | -3 | 1 | -1
+ | | 0 | zero | 3 | -3 | 2 | 2
| | 0 | zero | 3 | -3 | 3 | -3
- | | 0 | zero | 2 | 4 | 3 | -3
- | | 0 | zero | 5 | -5 | 3 | -3
- | | 0 | zero | 5 | -5 | 3 | -3
- | | 0 | zero | 0 | | 3 | -3
- | | 0 | zero | | | 3 | -3
- | | 0 | zero | | 0 | 3 | -3
- | 1 | 4 | one | 1 | -1 | 2 | 4
- | 1 | 4 | one | 2 | 2 | 2 | 4
- | 1 | 4 | one | 3 | -3 | 2 | 4
+ | | 0 | zero | 3 | -3 | 2 | 4
+ | | 0 | zero | 3 | -3 | 5 | -5
+ | | 0 | zero | 3 | -3 | 5 | -5
+ | | 0 | zero | 3 | -3 | 0 |
+ | | 0 | zero | 3 | -3 | |
+ | | 0 | zero | 3 | -3 | | 0
+ | 1 | 4 | one | 2 | 4 | 1 | -1
+ | 1 | 4 | one | 2 | 4 | 2 | 2
+ | 1 | 4 | one | 2 | 4 | 3 | -3
| 1 | 4 | one | 2 | 4 | 2 | 4
- | 1 | 4 | one | 5 | -5 | 2 | 4
- | 1 | 4 | one | 5 | -5 | 2 | 4
- | 1 | 4 | one | 0 | | 2 | 4
- | 1 | 4 | one | | | 2 | 4
- | 1 | 4 | one | | 0 | 2 | 4
- | 2 | 3 | two | 1 | -1 | 2 | 4
- | 2 | 3 | two | 2 | 2 | 2 | 4
- | 2 | 3 | two | 3 | -3 | 2 | 4
+ | 1 | 4 | one | 2 | 4 | 5 | -5
+ | 1 | 4 | one | 2 | 4 | 5 | -5
+ | 1 | 4 | one | 2 | 4 | 0 |
+ | 1 | 4 | one | 2 | 4 | |
+ | 1 | 4 | one | 2 | 4 | | 0
+ | 2 | 3 | two | 2 | 4 | 1 | -1
+ | 2 | 3 | two | 2 | 4 | 2 | 2
+ | 2 | 3 | two | 2 | 4 | 3 | -3
| 2 | 3 | two | 2 | 4 | 2 | 4
- | 2 | 3 | two | 5 | -5 | 2 | 4
- | 2 | 3 | two | 5 | -5 | 2 | 4
- | 2 | 3 | two | 0 | | 2 | 4
- | 2 | 3 | two | | | 2 | 4
- | 2 | 3 | two | | 0 | 2 | 4
- | 3 | 2 | three | 1 | -1 | 2 | 4
- | 3 | 2 | three | 2 | 2 | 2 | 4
- | 3 | 2 | three | 3 | -3 | 2 | 4
+ | 2 | 3 | two | 2 | 4 | 5 | -5
+ | 2 | 3 | two | 2 | 4 | 5 | -5
+ | 2 | 3 | two | 2 | 4 | 0 |
+ | 2 | 3 | two | 2 | 4 | |
+ | 2 | 3 | two | 2 | 4 | | 0
+ | 3 | 2 | three | 2 | 4 | 1 | -1
+ | 3 | 2 | three | 2 | 4 | 2 | 2
+ | 3 | 2 | three | 2 | 4 | 3 | -3
| 3 | 2 | three | 2 | 4 | 2 | 4
- | 3 | 2 | three | 5 | -5 | 2 | 4
- | 3 | 2 | three | 5 | -5 | 2 | 4
- | 3 | 2 | three | 0 | | 2 | 4
- | 3 | 2 | three | | | 2 | 4
- | 3 | 2 | three | | 0 | 2 | 4
- | 4 | 1 | four | 1 | -1 | 2 | 4
- | 4 | 1 | four | 2 | 2 | 2 | 4
- | 4 | 1 | four | 3 | -3 | 2 | 4
+ | 3 | 2 | three | 2 | 4 | 5 | -5
+ | 3 | 2 | three | 2 | 4 | 5 | -5
+ | 3 | 2 | three | 2 | 4 | 0 |
+ | 3 | 2 | three | 2 | 4 | |
+ | 3 | 2 | three | 2 | 4 | | 0
+ | 4 | 1 | four | 2 | 4 | 1 | -1
+ | 4 | 1 | four | 2 | 4 | 2 | 2
+ | 4 | 1 | four | 2 | 4 | 3 | -3
| 4 | 1 | four | 2 | 4 | 2 | 4
- | 4 | 1 | four | 5 | -5 | 2 | 4
- | 4 | 1 | four | 5 | -5 | 2 | 4
- | 4 | 1 | four | 0 | | 2 | 4
- | 4 | 1 | four | | | 2 | 4
- | 4 | 1 | four | | 0 | 2 | 4
- | 5 | 0 | five | 1 | -1 | 2 | 4
- | 5 | 0 | five | 2 | 2 | 2 | 4
- | 5 | 0 | five | 3 | -3 | 2 | 4
+ | 4 | 1 | four | 2 | 4 | 5 | -5
+ | 4 | 1 | four | 2 | 4 | 5 | -5
+ | 4 | 1 | four | 2 | 4 | 0 |
+ | 4 | 1 | four | 2 | 4 | |
+ | 4 | 1 | four | 2 | 4 | | 0
+ | 5 | 0 | five | 2 | 4 | 1 | -1
+ | 5 | 0 | five | 2 | 4 | 2 | 2
+ | 5 | 0 | five | 2 | 4 | 3 | -3
| 5 | 0 | five | 2 | 4 | 2 | 4
- | 5 | 0 | five | 5 | -5 | 2 | 4
- | 5 | 0 | five | 5 | -5 | 2 | 4
- | 5 | 0 | five | 0 | | 2 | 4
- | 5 | 0 | five | | | 2 | 4
- | 5 | 0 | five | | 0 | 2 | 4
- | 6 | 6 | six | 1 | -1 | 2 | 4
- | 6 | 6 | six | 2 | 2 | 2 | 4
- | 6 | 6 | six | 3 | -3 | 2 | 4
+ | 5 | 0 | five | 2 | 4 | 5 | -5
+ | 5 | 0 | five | 2 | 4 | 5 | -5
+ | 5 | 0 | five | 2 | 4 | 0 |
+ | 5 | 0 | five | 2 | 4 | |
+ | 5 | 0 | five | 2 | 4 | | 0
+ | 6 | 6 | six | 2 | 4 | 1 | -1
+ | 6 | 6 | six | 2 | 4 | 2 | 2
+ | 6 | 6 | six | 2 | 4 | 3 | -3
| 6 | 6 | six | 2 | 4 | 2 | 4
- | 6 | 6 | six | 5 | -5 | 2 | 4
- | 6 | 6 | six | 5 | -5 | 2 | 4
- | 6 | 6 | six | 0 | | 2 | 4
- | 6 | 6 | six | | | 2 | 4
- | 6 | 6 | six | | 0 | 2 | 4
- | 7 | 7 | seven | 1 | -1 | 2 | 4
- | 7 | 7 | seven | 2 | 2 | 2 | 4
- | 7 | 7 | seven | 3 | -3 | 2 | 4
+ | 6 | 6 | six | 2 | 4 | 5 | -5
+ | 6 | 6 | six | 2 | 4 | 5 | -5
+ | 6 | 6 | six | 2 | 4 | 0 |
+ | 6 | 6 | six | 2 | 4 | |
+ | 6 | 6 | six | 2 | 4 | | 0
+ | 7 | 7 | seven | 2 | 4 | 1 | -1
+ | 7 | 7 | seven | 2 | 4 | 2 | 2
+ | 7 | 7 | seven | 2 | 4 | 3 | -3
| 7 | 7 | seven | 2 | 4 | 2 | 4
- | 7 | 7 | seven | 5 | -5 | 2 | 4
- | 7 | 7 | seven | 5 | -5 | 2 | 4
- | 7 | 7 | seven | 0 | | 2 | 4
- | 7 | 7 | seven | | | 2 | 4
- | 7 | 7 | seven | | 0 | 2 | 4
- | 8 | 8 | eight | 1 | -1 | 2 | 4
- | 8 | 8 | eight | 2 | 2 | 2 | 4
- | 8 | 8 | eight | 3 | -3 | 2 | 4
+ | 7 | 7 | seven | 2 | 4 | 5 | -5
+ | 7 | 7 | seven | 2 | 4 | 5 | -5
+ | 7 | 7 | seven | 2 | 4 | 0 |
+ | 7 | 7 | seven | 2 | 4 | |
+ | 7 | 7 | seven | 2 | 4 | | 0
+ | 8 | 8 | eight | 2 | 4 | 1 | -1
+ | 8 | 8 | eight | 2 | 4 | 2 | 2
+ | 8 | 8 | eight | 2 | 4 | 3 | -3
| 8 | 8 | eight | 2 | 4 | 2 | 4
- | 8 | 8 | eight | 5 | -5 | 2 | 4
- | 8 | 8 | eight | 5 | -5 | 2 | 4
- | 8 | 8 | eight | 0 | | 2 | 4
- | 8 | 8 | eight | | | 2 | 4
- | 8 | 8 | eight | | 0 | 2 | 4
- | 0 | | zero | 1 | -1 | 2 | 4
- | 0 | | zero | 2 | 2 | 2 | 4
- | 0 | | zero | 3 | -3 | 2 | 4
+ | 8 | 8 | eight | 2 | 4 | 5 | -5
+ | 8 | 8 | eight | 2 | 4 | 5 | -5
+ | 8 | 8 | eight | 2 | 4 | 0 |
+ | 8 | 8 | eight | 2 | 4 | |
+ | 8 | 8 | eight | 2 | 4 | | 0
+ | 0 | | zero | 2 | 4 | 1 | -1
+ | 0 | | zero | 2 | 4 | 2 | 2
+ | 0 | | zero | 2 | 4 | 3 | -3
| 0 | | zero | 2 | 4 | 2 | 4
- | 0 | | zero | 5 | -5 | 2 | 4
- | 0 | | zero | 5 | -5 | 2 | 4
- | 0 | | zero | 0 | | 2 | 4
- | 0 | | zero | | | 2 | 4
- | 0 | | zero | | 0 | 2 | 4
- | | | null | 1 | -1 | 2 | 4
- | | | null | 2 | 2 | 2 | 4
- | | | null | 3 | -3 | 2 | 4
+ | 0 | | zero | 2 | 4 | 5 | -5
+ | 0 | | zero | 2 | 4 | 5 | -5
+ | 0 | | zero | 2 | 4 | 0 |
+ | 0 | | zero | 2 | 4 | |
+ | 0 | | zero | 2 | 4 | | 0
+ | | | null | 2 | 4 | 1 | -1
+ | | | null | 2 | 4 | 2 | 2
+ | | | null | 2 | 4 | 3 | -3
| | | null | 2 | 4 | 2 | 4
- | | | null | 5 | -5 | 2 | 4
- | | | null | 5 | -5 | 2 | 4
- | | | null | 0 | | 2 | 4
- | | | null | | | 2 | 4
- | | | null | | 0 | 2 | 4
- | | 0 | zero | 1 | -1 | 2 | 4
- | | 0 | zero | 2 | 2 | 2 | 4
- | | 0 | zero | 3 | -3 | 2 | 4
+ | | | null | 2 | 4 | 5 | -5
+ | | | null | 2 | 4 | 5 | -5
+ | | | null | 2 | 4 | 0 |
+ | | | null | 2 | 4 | |
+ | | | null | 2 | 4 | | 0
+ | | 0 | zero | 2 | 4 | 1 | -1
+ | | 0 | zero | 2 | 4 | 2 | 2
+ | | 0 | zero | 2 | 4 | 3 | -3
| | 0 | zero | 2 | 4 | 2 | 4
- | | 0 | zero | 5 | -5 | 2 | 4
- | | 0 | zero | 5 | -5 | 2 | 4
- | | 0 | zero | 0 | | 2 | 4
- | | 0 | zero | | | 2 | 4
- | | 0 | zero | | 0 | 2 | 4
- | 1 | 4 | one | 1 | -1 | 5 | -5
- | 1 | 4 | one | 2 | 2 | 5 | -5
- | 1 | 4 | one | 3 | -3 | 5 | -5
- | 1 | 4 | one | 2 | 4 | 5 | -5
+ | | 0 | zero | 2 | 4 | 5 | -5
+ | | 0 | zero | 2 | 4 | 5 | -5
+ | | 0 | zero | 2 | 4 | 0 |
+ | | 0 | zero | 2 | 4 | |
+ | | 0 | zero | 2 | 4 | | 0
+ | 1 | 4 | one | 5 | -5 | 1 | -1
+ | 1 | 4 | one | 5 | -5 | 2 | 2
+ | 1 | 4 | one | 5 | -5 | 3 | -3
+ | 1 | 4 | one | 5 | -5 | 2 | 4
| 1 | 4 | one | 5 | -5 | 5 | -5
| 1 | 4 | one | 5 | -5 | 5 | -5
- | 1 | 4 | one | 0 | | 5 | -5
- | 1 | 4 | one | | | 5 | -5
- | 1 | 4 | one | | 0 | 5 | -5
- | 2 | 3 | two | 1 | -1 | 5 | -5
- | 2 | 3 | two | 2 | 2 | 5 | -5
- | 2 | 3 | two | 3 | -3 | 5 | -5
- | 2 | 3 | two | 2 | 4 | 5 | -5
+ | 1 | 4 | one | 5 | -5 | 0 |
+ | 1 | 4 | one | 5 | -5 | |
+ | 1 | 4 | one | 5 | -5 | | 0
+ | 2 | 3 | two | 5 | -5 | 1 | -1
+ | 2 | 3 | two | 5 | -5 | 2 | 2
+ | 2 | 3 | two | 5 | -5 | 3 | -3
+ | 2 | 3 | two | 5 | -5 | 2 | 4
| 2 | 3 | two | 5 | -5 | 5 | -5
| 2 | 3 | two | 5 | -5 | 5 | -5
- | 2 | 3 | two | 0 | | 5 | -5
- | 2 | 3 | two | | | 5 | -5
- | 2 | 3 | two | | 0 | 5 | -5
- | 3 | 2 | three | 1 | -1 | 5 | -5
- | 3 | 2 | three | 2 | 2 | 5 | -5
- | 3 | 2 | three | 3 | -3 | 5 | -5
- | 3 | 2 | three | 2 | 4 | 5 | -5
+ | 2 | 3 | two | 5 | -5 | 0 |
+ | 2 | 3 | two | 5 | -5 | |
+ | 2 | 3 | two | 5 | -5 | | 0
+ | 3 | 2 | three | 5 | -5 | 1 | -1
+ | 3 | 2 | three | 5 | -5 | 2 | 2
+ | 3 | 2 | three | 5 | -5 | 3 | -3
+ | 3 | 2 | three | 5 | -5 | 2 | 4
| 3 | 2 | three | 5 | -5 | 5 | -5
| 3 | 2 | three | 5 | -5 | 5 | -5
- | 3 | 2 | three | 0 | | 5 | -5
- | 3 | 2 | three | | | 5 | -5
- | 3 | 2 | three | | 0 | 5 | -5
- | 4 | 1 | four | 1 | -1 | 5 | -5
- | 4 | 1 | four | 2 | 2 | 5 | -5
- | 4 | 1 | four | 3 | -3 | 5 | -5
- | 4 | 1 | four | 2 | 4 | 5 | -5
+ | 3 | 2 | three | 5 | -5 | 0 |
+ | 3 | 2 | three | 5 | -5 | |
+ | 3 | 2 | three | 5 | -5 | | 0
+ | 4 | 1 | four | 5 | -5 | 1 | -1
+ | 4 | 1 | four | 5 | -5 | 2 | 2
+ | 4 | 1 | four | 5 | -5 | 3 | -3
+ | 4 | 1 | four | 5 | -5 | 2 | 4
| 4 | 1 | four | 5 | -5 | 5 | -5
| 4 | 1 | four | 5 | -5 | 5 | -5
- | 4 | 1 | four | 0 | | 5 | -5
- | 4 | 1 | four | | | 5 | -5
- | 4 | 1 | four | | 0 | 5 | -5
- | 5 | 0 | five | 1 | -1 | 5 | -5
- | 5 | 0 | five | 2 | 2 | 5 | -5
- | 5 | 0 | five | 3 | -3 | 5 | -5
- | 5 | 0 | five | 2 | 4 | 5 | -5
+ | 4 | 1 | four | 5 | -5 | 0 |
+ | 4 | 1 | four | 5 | -5 | |
+ | 4 | 1 | four | 5 | -5 | | 0
+ | 5 | 0 | five | 5 | -5 | 1 | -1
+ | 5 | 0 | five | 5 | -5 | 2 | 2
+ | 5 | 0 | five | 5 | -5 | 3 | -3
+ | 5 | 0 | five | 5 | -5 | 2 | 4
| 5 | 0 | five | 5 | -5 | 5 | -5
| 5 | 0 | five | 5 | -5 | 5 | -5
- | 5 | 0 | five | 0 | | 5 | -5
- | 5 | 0 | five | | | 5 | -5
- | 5 | 0 | five | | 0 | 5 | -5
- | 6 | 6 | six | 1 | -1 | 5 | -5
- | 6 | 6 | six | 2 | 2 | 5 | -5
- | 6 | 6 | six | 3 | -3 | 5 | -5
- | 6 | 6 | six | 2 | 4 | 5 | -5
+ | 5 | 0 | five | 5 | -5 | 0 |
+ | 5 | 0 | five | 5 | -5 | |
+ | 5 | 0 | five | 5 | -5 | | 0
+ | 6 | 6 | six | 5 | -5 | 1 | -1
+ | 6 | 6 | six | 5 | -5 | 2 | 2
+ | 6 | 6 | six | 5 | -5 | 3 | -3
+ | 6 | 6 | six | 5 | -5 | 2 | 4
| 6 | 6 | six | 5 | -5 | 5 | -5
| 6 | 6 | six | 5 | -5 | 5 | -5
- | 6 | 6 | six | 0 | | 5 | -5
- | 6 | 6 | six | | | 5 | -5
- | 6 | 6 | six | | 0 | 5 | -5
- | 7 | 7 | seven | 1 | -1 | 5 | -5
- | 7 | 7 | seven | 2 | 2 | 5 | -5
- | 7 | 7 | seven | 3 | -3 | 5 | -5
- | 7 | 7 | seven | 2 | 4 | 5 | -5
+ | 6 | 6 | six | 5 | -5 | 0 |
+ | 6 | 6 | six | 5 | -5 | |
+ | 6 | 6 | six | 5 | -5 | | 0
+ | 7 | 7 | seven | 5 | -5 | 1 | -1
+ | 7 | 7 | seven | 5 | -5 | 2 | 2
+ | 7 | 7 | seven | 5 | -5 | 3 | -3
+ | 7 | 7 | seven | 5 | -5 | 2 | 4
| 7 | 7 | seven | 5 | -5 | 5 | -5
| 7 | 7 | seven | 5 | -5 | 5 | -5
- | 7 | 7 | seven | 0 | | 5 | -5
- | 7 | 7 | seven | | | 5 | -5
- | 7 | 7 | seven | | 0 | 5 | -5
- | 8 | 8 | eight | 1 | -1 | 5 | -5
- | 8 | 8 | eight | 2 | 2 | 5 | -5
- | 8 | 8 | eight | 3 | -3 | 5 | -5
- | 8 | 8 | eight | 2 | 4 | 5 | -5
+ | 7 | 7 | seven | 5 | -5 | 0 |
+ | 7 | 7 | seven | 5 | -5 | |
+ | 7 | 7 | seven | 5 | -5 | | 0
+ | 8 | 8 | eight | 5 | -5 | 1 | -1
+ | 8 | 8 | eight | 5 | -5 | 2 | 2
+ | 8 | 8 | eight | 5 | -5 | 3 | -3
+ | 8 | 8 | eight | 5 | -5 | 2 | 4
| 8 | 8 | eight | 5 | -5 | 5 | -5
| 8 | 8 | eight | 5 | -5 | 5 | -5
- | 8 | 8 | eight | 0 | | 5 | -5
- | 8 | 8 | eight | | | 5 | -5
- | 8 | 8 | eight | | 0 | 5 | -5
- | 0 | | zero | 1 | -1 | 5 | -5
- | 0 | | zero | 2 | 2 | 5 | -5
- | 0 | | zero | 3 | -3 | 5 | -5
- | 0 | | zero | 2 | 4 | 5 | -5
+ | 8 | 8 | eight | 5 | -5 | 0 |
+ | 8 | 8 | eight | 5 | -5 | |
+ | 8 | 8 | eight | 5 | -5 | | 0
+ | 0 | | zero | 5 | -5 | 1 | -1
+ | 0 | | zero | 5 | -5 | 2 | 2
+ | 0 | | zero | 5 | -5 | 3 | -3
+ | 0 | | zero | 5 | -5 | 2 | 4
| 0 | | zero | 5 | -5 | 5 | -5
| 0 | | zero | 5 | -5 | 5 | -5
- | 0 | | zero | 0 | | 5 | -5
- | 0 | | zero | | | 5 | -5
- | 0 | | zero | | 0 | 5 | -5
- | | | null | 1 | -1 | 5 | -5
- | | | null | 2 | 2 | 5 | -5
- | | | null | 3 | -3 | 5 | -5
- | | | null | 2 | 4 | 5 | -5
+ | 0 | | zero | 5 | -5 | 0 |
+ | 0 | | zero | 5 | -5 | |
+ | 0 | | zero | 5 | -5 | | 0
+ | | | null | 5 | -5 | 1 | -1
+ | | | null | 5 | -5 | 2 | 2
+ | | | null | 5 | -5 | 3 | -3
+ | | | null | 5 | -5 | 2 | 4
| | | null | 5 | -5 | 5 | -5
| | | null | 5 | -5 | 5 | -5
- | | | null | 0 | | 5 | -5
- | | | null | | | 5 | -5
- | | | null | | 0 | 5 | -5
- | | 0 | zero | 1 | -1 | 5 | -5
- | | 0 | zero | 2 | 2 | 5 | -5
- | | 0 | zero | 3 | -3 | 5 | -5
- | | 0 | zero | 2 | 4 | 5 | -5
+ | | | null | 5 | -5 | 0 |
+ | | | null | 5 | -5 | |
+ | | | null | 5 | -5 | | 0
+ | | 0 | zero | 5 | -5 | 1 | -1
+ | | 0 | zero | 5 | -5 | 2 | 2
+ | | 0 | zero | 5 | -5 | 3 | -3
+ | | 0 | zero | 5 | -5 | 2 | 4
| | 0 | zero | 5 | -5 | 5 | -5
| | 0 | zero | 5 | -5 | 5 | -5
- | | 0 | zero | 0 | | 5 | -5
- | | 0 | zero | | | 5 | -5
- | | 0 | zero | | 0 | 5 | -5
- | 1 | 4 | one | 1 | -1 | 5 | -5
- | 1 | 4 | one | 2 | 2 | 5 | -5
- | 1 | 4 | one | 3 | -3 | 5 | -5
- | 1 | 4 | one | 2 | 4 | 5 | -5
+ | | 0 | zero | 5 | -5 | 0 |
+ | | 0 | zero | 5 | -5 | |
+ | | 0 | zero | 5 | -5 | | 0
+ | 1 | 4 | one | 5 | -5 | 1 | -1
+ | 1 | 4 | one | 5 | -5 | 2 | 2
+ | 1 | 4 | one | 5 | -5 | 3 | -3
+ | 1 | 4 | one | 5 | -5 | 2 | 4
| 1 | 4 | one | 5 | -5 | 5 | -5
| 1 | 4 | one | 5 | -5 | 5 | -5
- | 1 | 4 | one | 0 | | 5 | -5
- | 1 | 4 | one | | | 5 | -5
- | 1 | 4 | one | | 0 | 5 | -5
- | 2 | 3 | two | 1 | -1 | 5 | -5
- | 2 | 3 | two | 2 | 2 | 5 | -5
- | 2 | 3 | two | 3 | -3 | 5 | -5
- | 2 | 3 | two | 2 | 4 | 5 | -5
+ | 1 | 4 | one | 5 | -5 | 0 |
+ | 1 | 4 | one | 5 | -5 | |
+ | 1 | 4 | one | 5 | -5 | | 0
+ | 2 | 3 | two | 5 | -5 | 1 | -1
+ | 2 | 3 | two | 5 | -5 | 2 | 2
+ | 2 | 3 | two | 5 | -5 | 3 | -3
+ | 2 | 3 | two | 5 | -5 | 2 | 4
| 2 | 3 | two | 5 | -5 | 5 | -5
| 2 | 3 | two | 5 | -5 | 5 | -5
- | 2 | 3 | two | 0 | | 5 | -5
- | 2 | 3 | two | | | 5 | -5
- | 2 | 3 | two | | 0 | 5 | -5
- | 3 | 2 | three | 1 | -1 | 5 | -5
- | 3 | 2 | three | 2 | 2 | 5 | -5
- | 3 | 2 | three | 3 | -3 | 5 | -5
- | 3 | 2 | three | 2 | 4 | 5 | -5
+ | 2 | 3 | two | 5 | -5 | 0 |
+ | 2 | 3 | two | 5 | -5 | |
+ | 2 | 3 | two | 5 | -5 | | 0
+ | 3 | 2 | three | 5 | -5 | 1 | -1
+ | 3 | 2 | three | 5 | -5 | 2 | 2
+ | 3 | 2 | three | 5 | -5 | 3 | -3
+ | 3 | 2 | three | 5 | -5 | 2 | 4
| 3 | 2 | three | 5 | -5 | 5 | -5
| 3 | 2 | three | 5 | -5 | 5 | -5
- | 3 | 2 | three | 0 | | 5 | -5
- | 3 | 2 | three | | | 5 | -5
- | 3 | 2 | three | | 0 | 5 | -5
- | 4 | 1 | four | 1 | -1 | 5 | -5
- | 4 | 1 | four | 2 | 2 | 5 | -5
- | 4 | 1 | four | 3 | -3 | 5 | -5
- | 4 | 1 | four | 2 | 4 | 5 | -5
+ | 3 | 2 | three | 5 | -5 | 0 |
+ | 3 | 2 | three | 5 | -5 | |
+ | 3 | 2 | three | 5 | -5 | | 0
+ | 4 | 1 | four | 5 | -5 | 1 | -1
+ | 4 | 1 | four | 5 | -5 | 2 | 2
+ | 4 | 1 | four | 5 | -5 | 3 | -3
+ | 4 | 1 | four | 5 | -5 | 2 | 4
| 4 | 1 | four | 5 | -5 | 5 | -5
| 4 | 1 | four | 5 | -5 | 5 | -5
- | 4 | 1 | four | 0 | | 5 | -5
- | 4 | 1 | four | | | 5 | -5
- | 4 | 1 | four | | 0 | 5 | -5
- | 5 | 0 | five | 1 | -1 | 5 | -5
- | 5 | 0 | five | 2 | 2 | 5 | -5
- | 5 | 0 | five | 3 | -3 | 5 | -5
- | 5 | 0 | five | 2 | 4 | 5 | -5
+ | 4 | 1 | four | 5 | -5 | 0 |
+ | 4 | 1 | four | 5 | -5 | |
+ | 4 | 1 | four | 5 | -5 | | 0
+ | 5 | 0 | five | 5 | -5 | 1 | -1
+ | 5 | 0 | five | 5 | -5 | 2 | 2
+ | 5 | 0 | five | 5 | -5 | 3 | -3
+ | 5 | 0 | five | 5 | -5 | 2 | 4
| 5 | 0 | five | 5 | -5 | 5 | -5
| 5 | 0 | five | 5 | -5 | 5 | -5
- | 5 | 0 | five | 0 | | 5 | -5
- | 5 | 0 | five | | | 5 | -5
- | 5 | 0 | five | | 0 | 5 | -5
- | 6 | 6 | six | 1 | -1 | 5 | -5
- | 6 | 6 | six | 2 | 2 | 5 | -5
- | 6 | 6 | six | 3 | -3 | 5 | -5
- | 6 | 6 | six | 2 | 4 | 5 | -5
+ | 5 | 0 | five | 5 | -5 | 0 |
+ | 5 | 0 | five | 5 | -5 | |
+ | 5 | 0 | five | 5 | -5 | | 0
+ | 6 | 6 | six | 5 | -5 | 1 | -1
+ | 6 | 6 | six | 5 | -5 | 2 | 2
+ | 6 | 6 | six | 5 | -5 | 3 | -3
+ | 6 | 6 | six | 5 | -5 | 2 | 4
| 6 | 6 | six | 5 | -5 | 5 | -5
| 6 | 6 | six | 5 | -5 | 5 | -5
- | 6 | 6 | six | 0 | | 5 | -5
- | 6 | 6 | six | | | 5 | -5
- | 6 | 6 | six | | 0 | 5 | -5
- | 7 | 7 | seven | 1 | -1 | 5 | -5
- | 7 | 7 | seven | 2 | 2 | 5 | -5
- | 7 | 7 | seven | 3 | -3 | 5 | -5
- | 7 | 7 | seven | 2 | 4 | 5 | -5
+ | 6 | 6 | six | 5 | -5 | 0 |
+ | 6 | 6 | six | 5 | -5 | |
+ | 6 | 6 | six | 5 | -5 | | 0
+ | 7 | 7 | seven | 5 | -5 | 1 | -1
+ | 7 | 7 | seven | 5 | -5 | 2 | 2
+ | 7 | 7 | seven | 5 | -5 | 3 | -3
+ | 7 | 7 | seven | 5 | -5 | 2 | 4
| 7 | 7 | seven | 5 | -5 | 5 | -5
| 7 | 7 | seven | 5 | -5 | 5 | -5
- | 7 | 7 | seven | 0 | | 5 | -5
- | 7 | 7 | seven | | | 5 | -5
- | 7 | 7 | seven | | 0 | 5 | -5
- | 8 | 8 | eight | 1 | -1 | 5 | -5
- | 8 | 8 | eight | 2 | 2 | 5 | -5
- | 8 | 8 | eight | 3 | -3 | 5 | -5
- | 8 | 8 | eight | 2 | 4 | 5 | -5
+ | 7 | 7 | seven | 5 | -5 | 0 |
+ | 7 | 7 | seven | 5 | -5 | |
+ | 7 | 7 | seven | 5 | -5 | | 0
+ | 8 | 8 | eight | 5 | -5 | 1 | -1
+ | 8 | 8 | eight | 5 | -5 | 2 | 2
+ | 8 | 8 | eight | 5 | -5 | 3 | -3
+ | 8 | 8 | eight | 5 | -5 | 2 | 4
| 8 | 8 | eight | 5 | -5 | 5 | -5
| 8 | 8 | eight | 5 | -5 | 5 | -5
- | 8 | 8 | eight | 0 | | 5 | -5
- | 8 | 8 | eight | | | 5 | -5
- | 8 | 8 | eight | | 0 | 5 | -5
- | 0 | | zero | 1 | -1 | 5 | -5
- | 0 | | zero | 2 | 2 | 5 | -5
- | 0 | | zero | 3 | -3 | 5 | -5
- | 0 | | zero | 2 | 4 | 5 | -5
+ | 8 | 8 | eight | 5 | -5 | 0 |
+ | 8 | 8 | eight | 5 | -5 | |
+ | 8 | 8 | eight | 5 | -5 | | 0
+ | 0 | | zero | 5 | -5 | 1 | -1
+ | 0 | | zero | 5 | -5 | 2 | 2
+ | 0 | | zero | 5 | -5 | 3 | -3
+ | 0 | | zero | 5 | -5 | 2 | 4
| 0 | | zero | 5 | -5 | 5 | -5
| 0 | | zero | 5 | -5 | 5 | -5
- | 0 | | zero | 0 | | 5 | -5
- | 0 | | zero | | | 5 | -5
- | 0 | | zero | | 0 | 5 | -5
- | | | null | 1 | -1 | 5 | -5
- | | | null | 2 | 2 | 5 | -5
- | | | null | 3 | -3 | 5 | -5
- | | | null | 2 | 4 | 5 | -5
+ | 0 | | zero | 5 | -5 | 0 |
+ | 0 | | zero | 5 | -5 | |
+ | 0 | | zero | 5 | -5 | | 0
+ | | | null | 5 | -5 | 1 | -1
+ | | | null | 5 | -5 | 2 | 2
+ | | | null | 5 | -5 | 3 | -3
+ | | | null | 5 | -5 | 2 | 4
| | | null | 5 | -5 | 5 | -5
| | | null | 5 | -5 | 5 | -5
- | | | null | 0 | | 5 | -5
- | | | null | | | 5 | -5
- | | | null | | 0 | 5 | -5
- | | 0 | zero | 1 | -1 | 5 | -5
- | | 0 | zero | 2 | 2 | 5 | -5
- | | 0 | zero | 3 | -3 | 5 | -5
- | | 0 | zero | 2 | 4 | 5 | -5
+ | | | null | 5 | -5 | 0 |
+ | | | null | 5 | -5 | |
+ | | | null | 5 | -5 | | 0
+ | | 0 | zero | 5 | -5 | 1 | -1
+ | | 0 | zero | 5 | -5 | 2 | 2
+ | | 0 | zero | 5 | -5 | 3 | -3
+ | | 0 | zero | 5 | -5 | 2 | 4
| | 0 | zero | 5 | -5 | 5 | -5
| | 0 | zero | 5 | -5 | 5 | -5
- | | 0 | zero | 0 | | 5 | -5
- | | 0 | zero | | | 5 | -5
- | | 0 | zero | | 0 | 5 | -5
- | 1 | 4 | one | 1 | -1 | 0 |
- | 1 | 4 | one | 2 | 2 | 0 |
- | 1 | 4 | one | 3 | -3 | 0 |
- | 1 | 4 | one | 2 | 4 | 0 |
- | 1 | 4 | one | 5 | -5 | 0 |
- | 1 | 4 | one | 5 | -5 | 0 |
+ | | 0 | zero | 5 | -5 | 0 |
+ | | 0 | zero | 5 | -5 | |
+ | | 0 | zero | 5 | -5 | | 0
+ | 1 | 4 | one | 0 | | 1 | -1
+ | 1 | 4 | one | 0 | | 2 | 2
+ | 1 | 4 | one | 0 | | 3 | -3
+ | 1 | 4 | one | 0 | | 2 | 4
+ | 1 | 4 | one | 0 | | 5 | -5
+ | 1 | 4 | one | 0 | | 5 | -5
| 1 | 4 | one | 0 | | 0 |
- | 1 | 4 | one | | | 0 |
- | 1 | 4 | one | | 0 | 0 |
- | 2 | 3 | two | 1 | -1 | 0 |
- | 2 | 3 | two | 2 | 2 | 0 |
- | 2 | 3 | two | 3 | -3 | 0 |
- | 2 | 3 | two | 2 | 4 | 0 |
- | 2 | 3 | two | 5 | -5 | 0 |
- | 2 | 3 | two | 5 | -5 | 0 |
+ | 1 | 4 | one | 0 | | |
+ | 1 | 4 | one | 0 | | | 0
+ | 2 | 3 | two | 0 | | 1 | -1
+ | 2 | 3 | two | 0 | | 2 | 2
+ | 2 | 3 | two | 0 | | 3 | -3
+ | 2 | 3 | two | 0 | | 2 | 4
+ | 2 | 3 | two | 0 | | 5 | -5
+ | 2 | 3 | two | 0 | | 5 | -5
| 2 | 3 | two | 0 | | 0 |
- | 2 | 3 | two | | | 0 |
- | 2 | 3 | two | | 0 | 0 |
- | 3 | 2 | three | 1 | -1 | 0 |
- | 3 | 2 | three | 2 | 2 | 0 |
- | 3 | 2 | three | 3 | -3 | 0 |
- | 3 | 2 | three | 2 | 4 | 0 |
- | 3 | 2 | three | 5 | -5 | 0 |
- | 3 | 2 | three | 5 | -5 | 0 |
+ | 2 | 3 | two | 0 | | |
+ | 2 | 3 | two | 0 | | | 0
+ | 3 | 2 | three | 0 | | 1 | -1
+ | 3 | 2 | three | 0 | | 2 | 2
+ | 3 | 2 | three | 0 | | 3 | -3
+ | 3 | 2 | three | 0 | | 2 | 4
+ | 3 | 2 | three | 0 | | 5 | -5
+ | 3 | 2 | three | 0 | | 5 | -5
| 3 | 2 | three | 0 | | 0 |
- | 3 | 2 | three | | | 0 |
- | 3 | 2 | three | | 0 | 0 |
- | 4 | 1 | four | 1 | -1 | 0 |
- | 4 | 1 | four | 2 | 2 | 0 |
- | 4 | 1 | four | 3 | -3 | 0 |
- | 4 | 1 | four | 2 | 4 | 0 |
- | 4 | 1 | four | 5 | -5 | 0 |
- | 4 | 1 | four | 5 | -5 | 0 |
+ | 3 | 2 | three | 0 | | |
+ | 3 | 2 | three | 0 | | | 0
+ | 4 | 1 | four | 0 | | 1 | -1
+ | 4 | 1 | four | 0 | | 2 | 2
+ | 4 | 1 | four | 0 | | 3 | -3
+ | 4 | 1 | four | 0 | | 2 | 4
+ | 4 | 1 | four | 0 | | 5 | -5
+ | 4 | 1 | four | 0 | | 5 | -5
| 4 | 1 | four | 0 | | 0 |
- | 4 | 1 | four | | | 0 |
- | 4 | 1 | four | | 0 | 0 |
- | 5 | 0 | five | 1 | -1 | 0 |
- | 5 | 0 | five | 2 | 2 | 0 |
- | 5 | 0 | five | 3 | -3 | 0 |
- | 5 | 0 | five | 2 | 4 | 0 |
- | 5 | 0 | five | 5 | -5 | 0 |
- | 5 | 0 | five | 5 | -5 | 0 |
+ | 4 | 1 | four | 0 | | |
+ | 4 | 1 | four | 0 | | | 0
+ | 5 | 0 | five | 0 | | 1 | -1
+ | 5 | 0 | five | 0 | | 2 | 2
+ | 5 | 0 | five | 0 | | 3 | -3
+ | 5 | 0 | five | 0 | | 2 | 4
+ | 5 | 0 | five | 0 | | 5 | -5
+ | 5 | 0 | five | 0 | | 5 | -5
| 5 | 0 | five | 0 | | 0 |
- | 5 | 0 | five | | | 0 |
- | 5 | 0 | five | | 0 | 0 |
- | 6 | 6 | six | 1 | -1 | 0 |
- | 6 | 6 | six | 2 | 2 | 0 |
- | 6 | 6 | six | 3 | -3 | 0 |
- | 6 | 6 | six | 2 | 4 | 0 |
- | 6 | 6 | six | 5 | -5 | 0 |
- | 6 | 6 | six | 5 | -5 | 0 |
+ | 5 | 0 | five | 0 | | |
+ | 5 | 0 | five | 0 | | | 0
+ | 6 | 6 | six | 0 | | 1 | -1
+ | 6 | 6 | six | 0 | | 2 | 2
+ | 6 | 6 | six | 0 | | 3 | -3
+ | 6 | 6 | six | 0 | | 2 | 4
+ | 6 | 6 | six | 0 | | 5 | -5
+ | 6 | 6 | six | 0 | | 5 | -5
| 6 | 6 | six | 0 | | 0 |
- | 6 | 6 | six | | | 0 |
- | 6 | 6 | six | | 0 | 0 |
- | 7 | 7 | seven | 1 | -1 | 0 |
- | 7 | 7 | seven | 2 | 2 | 0 |
- | 7 | 7 | seven | 3 | -3 | 0 |
- | 7 | 7 | seven | 2 | 4 | 0 |
- | 7 | 7 | seven | 5 | -5 | 0 |
- | 7 | 7 | seven | 5 | -5 | 0 |
+ | 6 | 6 | six | 0 | | |
+ | 6 | 6 | six | 0 | | | 0
+ | 7 | 7 | seven | 0 | | 1 | -1
+ | 7 | 7 | seven | 0 | | 2 | 2
+ | 7 | 7 | seven | 0 | | 3 | -3
+ | 7 | 7 | seven | 0 | | 2 | 4
+ | 7 | 7 | seven | 0 | | 5 | -5
+ | 7 | 7 | seven | 0 | | 5 | -5
| 7 | 7 | seven | 0 | | 0 |
- | 7 | 7 | seven | | | 0 |
- | 7 | 7 | seven | | 0 | 0 |
- | 8 | 8 | eight | 1 | -1 | 0 |
- | 8 | 8 | eight | 2 | 2 | 0 |
- | 8 | 8 | eight | 3 | -3 | 0 |
- | 8 | 8 | eight | 2 | 4 | 0 |
- | 8 | 8 | eight | 5 | -5 | 0 |
- | 8 | 8 | eight | 5 | -5 | 0 |
+ | 7 | 7 | seven | 0 | | |
+ | 7 | 7 | seven | 0 | | | 0
+ | 8 | 8 | eight | 0 | | 1 | -1
+ | 8 | 8 | eight | 0 | | 2 | 2
+ | 8 | 8 | eight | 0 | | 3 | -3
+ | 8 | 8 | eight | 0 | | 2 | 4
+ | 8 | 8 | eight | 0 | | 5 | -5
+ | 8 | 8 | eight | 0 | | 5 | -5
| 8 | 8 | eight | 0 | | 0 |
- | 8 | 8 | eight | | | 0 |
- | 8 | 8 | eight | | 0 | 0 |
- | 0 | | zero | 1 | -1 | 0 |
- | 0 | | zero | 2 | 2 | 0 |
- | 0 | | zero | 3 | -3 | 0 |
- | 0 | | zero | 2 | 4 | 0 |
- | 0 | | zero | 5 | -5 | 0 |
- | 0 | | zero | 5 | -5 | 0 |
+ | 8 | 8 | eight | 0 | | |
+ | 8 | 8 | eight | 0 | | | 0
+ | 0 | | zero | 0 | | 1 | -1
+ | 0 | | zero | 0 | | 2 | 2
+ | 0 | | zero | 0 | | 3 | -3
+ | 0 | | zero | 0 | | 2 | 4
+ | 0 | | zero | 0 | | 5 | -5
+ | 0 | | zero | 0 | | 5 | -5
| 0 | | zero | 0 | | 0 |
- | 0 | | zero | | | 0 |
- | 0 | | zero | | 0 | 0 |
- | | | null | 1 | -1 | 0 |
- | | | null | 2 | 2 | 0 |
- | | | null | 3 | -3 | 0 |
- | | | null | 2 | 4 | 0 |
- | | | null | 5 | -5 | 0 |
- | | | null | 5 | -5 | 0 |
+ | 0 | | zero | 0 | | |
+ | 0 | | zero | 0 | | | 0
+ | | | null | 0 | | 1 | -1
+ | | | null | 0 | | 2 | 2
+ | | | null | 0 | | 3 | -3
+ | | | null | 0 | | 2 | 4
+ | | | null | 0 | | 5 | -5
+ | | | null | 0 | | 5 | -5
| | | null | 0 | | 0 |
- | | | null | | | 0 |
- | | | null | | 0 | 0 |
- | | 0 | zero | 1 | -1 | 0 |
- | | 0 | zero | 2 | 2 | 0 |
- | | 0 | zero | 3 | -3 | 0 |
- | | 0 | zero | 2 | 4 | 0 |
- | | 0 | zero | 5 | -5 | 0 |
- | | 0 | zero | 5 | -5 | 0 |
+ | | | null | 0 | | |
+ | | | null | 0 | | | 0
+ | | 0 | zero | 0 | | 1 | -1
+ | | 0 | zero | 0 | | 2 | 2
+ | | 0 | zero | 0 | | 3 | -3
+ | | 0 | zero | 0 | | 2 | 4
+ | | 0 | zero | 0 | | 5 | -5
+ | | 0 | zero | 0 | | 5 | -5
| | 0 | zero | 0 | | 0 |
- | | 0 | zero | | | 0 |
- | | 0 | zero | | 0 | 0 |
- | 1 | 4 | one | 1 | -1 | |
- | 1 | 4 | one | 2 | 2 | |
- | 1 | 4 | one | 3 | -3 | |
- | 1 | 4 | one | 2 | 4 | |
- | 1 | 4 | one | 5 | -5 | |
- | 1 | 4 | one | 5 | -5 | |
- | 1 | 4 | one | 0 | | |
+ | | 0 | zero | 0 | | |
+ | | 0 | zero | 0 | | | 0
+ | 1 | 4 | one | | | 1 | -1
+ | 1 | 4 | one | | | 2 | 2
+ | 1 | 4 | one | | | 3 | -3
+ | 1 | 4 | one | | | 2 | 4
+ | 1 | 4 | one | | | 5 | -5
+ | 1 | 4 | one | | | 5 | -5
+ | 1 | 4 | one | | | 0 |
| 1 | 4 | one | | | |
- | 1 | 4 | one | | 0 | |
- | 2 | 3 | two | 1 | -1 | |
- | 2 | 3 | two | 2 | 2 | |
- | 2 | 3 | two | 3 | -3 | |
- | 2 | 3 | two | 2 | 4 | |
- | 2 | 3 | two | 5 | -5 | |
- | 2 | 3 | two | 5 | -5 | |
- | 2 | 3 | two | 0 | | |
+ | 1 | 4 | one | | | | 0
+ | 2 | 3 | two | | | 1 | -1
+ | 2 | 3 | two | | | 2 | 2
+ | 2 | 3 | two | | | 3 | -3
+ | 2 | 3 | two | | | 2 | 4
+ | 2 | 3 | two | | | 5 | -5
+ | 2 | 3 | two | | | 5 | -5
+ | 2 | 3 | two | | | 0 |
| 2 | 3 | two | | | |
- | 2 | 3 | two | | 0 | |
- | 3 | 2 | three | 1 | -1 | |
- | 3 | 2 | three | 2 | 2 | |
- | 3 | 2 | three | 3 | -3 | |
- | 3 | 2 | three | 2 | 4 | |
- | 3 | 2 | three | 5 | -5 | |
- | 3 | 2 | three | 5 | -5 | |
- | 3 | 2 | three | 0 | | |
+ | 2 | 3 | two | | | | 0
+ | 3 | 2 | three | | | 1 | -1
+ | 3 | 2 | three | | | 2 | 2
+ | 3 | 2 | three | | | 3 | -3
+ | 3 | 2 | three | | | 2 | 4
+ | 3 | 2 | three | | | 5 | -5
+ | 3 | 2 | three | | | 5 | -5
+ | 3 | 2 | three | | | 0 |
| 3 | 2 | three | | | |
- | 3 | 2 | three | | 0 | |
- | 4 | 1 | four | 1 | -1 | |
- | 4 | 1 | four | 2 | 2 | |
- | 4 | 1 | four | 3 | -3 | |
- | 4 | 1 | four | 2 | 4 | |
- | 4 | 1 | four | 5 | -5 | |
- | 4 | 1 | four | 5 | -5 | |
- | 4 | 1 | four | 0 | | |
+ | 3 | 2 | three | | | | 0
+ | 4 | 1 | four | | | 1 | -1
+ | 4 | 1 | four | | | 2 | 2
+ | 4 | 1 | four | | | 3 | -3
+ | 4 | 1 | four | | | 2 | 4
+ | 4 | 1 | four | | | 5 | -5
+ | 4 | 1 | four | | | 5 | -5
+ | 4 | 1 | four | | | 0 |
| 4 | 1 | four | | | |
- | 4 | 1 | four | | 0 | |
- | 5 | 0 | five | 1 | -1 | |
- | 5 | 0 | five | 2 | 2 | |
- | 5 | 0 | five | 3 | -3 | |
- | 5 | 0 | five | 2 | 4 | |
- | 5 | 0 | five | 5 | -5 | |
- | 5 | 0 | five | 5 | -5 | |
- | 5 | 0 | five | 0 | | |
+ | 4 | 1 | four | | | | 0
+ | 5 | 0 | five | | | 1 | -1
+ | 5 | 0 | five | | | 2 | 2
+ | 5 | 0 | five | | | 3 | -3
+ | 5 | 0 | five | | | 2 | 4
+ | 5 | 0 | five | | | 5 | -5
+ | 5 | 0 | five | | | 5 | -5
+ | 5 | 0 | five | | | 0 |
| 5 | 0 | five | | | |
- | 5 | 0 | five | | 0 | |
- | 6 | 6 | six | 1 | -1 | |
- | 6 | 6 | six | 2 | 2 | |
- | 6 | 6 | six | 3 | -3 | |
- | 6 | 6 | six | 2 | 4 | |
- | 6 | 6 | six | 5 | -5 | |
- | 6 | 6 | six | 5 | -5 | |
- | 6 | 6 | six | 0 | | |
+ | 5 | 0 | five | | | | 0
+ | 6 | 6 | six | | | 1 | -1
+ | 6 | 6 | six | | | 2 | 2
+ | 6 | 6 | six | | | 3 | -3
+ | 6 | 6 | six | | | 2 | 4
+ | 6 | 6 | six | | | 5 | -5
+ | 6 | 6 | six | | | 5 | -5
+ | 6 | 6 | six | | | 0 |
| 6 | 6 | six | | | |
- | 6 | 6 | six | | 0 | |
- | 7 | 7 | seven | 1 | -1 | |
- | 7 | 7 | seven | 2 | 2 | |
- | 7 | 7 | seven | 3 | -3 | |
- | 7 | 7 | seven | 2 | 4 | |
- | 7 | 7 | seven | 5 | -5 | |
- | 7 | 7 | seven | 5 | -5 | |
- | 7 | 7 | seven | 0 | | |
+ | 6 | 6 | six | | | | 0
+ | 7 | 7 | seven | | | 1 | -1
+ | 7 | 7 | seven | | | 2 | 2
+ | 7 | 7 | seven | | | 3 | -3
+ | 7 | 7 | seven | | | 2 | 4
+ | 7 | 7 | seven | | | 5 | -5
+ | 7 | 7 | seven | | | 5 | -5
+ | 7 | 7 | seven | | | 0 |
| 7 | 7 | seven | | | |
- | 7 | 7 | seven | | 0 | |
- | 8 | 8 | eight | 1 | -1 | |
- | 8 | 8 | eight | 2 | 2 | |
- | 8 | 8 | eight | 3 | -3 | |
- | 8 | 8 | eight | 2 | 4 | |
- | 8 | 8 | eight | 5 | -5 | |
- | 8 | 8 | eight | 5 | -5 | |
- | 8 | 8 | eight | 0 | | |
+ | 7 | 7 | seven | | | | 0
+ | 8 | 8 | eight | | | 1 | -1
+ | 8 | 8 | eight | | | 2 | 2
+ | 8 | 8 | eight | | | 3 | -3
+ | 8 | 8 | eight | | | 2 | 4
+ | 8 | 8 | eight | | | 5 | -5
+ | 8 | 8 | eight | | | 5 | -5
+ | 8 | 8 | eight | | | 0 |
| 8 | 8 | eight | | | |
- | 8 | 8 | eight | | 0 | |
- | 0 | | zero | 1 | -1 | |
- | 0 | | zero | 2 | 2 | |
- | 0 | | zero | 3 | -3 | |
- | 0 | | zero | 2 | 4 | |
- | 0 | | zero | 5 | -5 | |
- | 0 | | zero | 5 | -5 | |
- | 0 | | zero | 0 | | |
+ | 8 | 8 | eight | | | | 0
+ | 0 | | zero | | | 1 | -1
+ | 0 | | zero | | | 2 | 2
+ | 0 | | zero | | | 3 | -3
+ | 0 | | zero | | | 2 | 4
+ | 0 | | zero | | | 5 | -5
+ | 0 | | zero | | | 5 | -5
+ | 0 | | zero | | | 0 |
| 0 | | zero | | | |
- | 0 | | zero | | 0 | |
- | | | null | 1 | -1 | |
- | | | null | 2 | 2 | |
- | | | null | 3 | -3 | |
- | | | null | 2 | 4 | |
- | | | null | 5 | -5 | |
- | | | null | 5 | -5 | |
- | | | null | 0 | | |
+ | 0 | | zero | | | | 0
+ | | | null | | | 1 | -1
+ | | | null | | | 2 | 2
+ | | | null | | | 3 | -3
+ | | | null | | | 2 | 4
+ | | | null | | | 5 | -5
+ | | | null | | | 5 | -5
+ | | | null | | | 0 |
| | | null | | | |
- | | | null | | 0 | |
- | | 0 | zero | 1 | -1 | |
- | | 0 | zero | 2 | 2 | |
- | | 0 | zero | 3 | -3 | |
- | | 0 | zero | 2 | 4 | |
- | | 0 | zero | 5 | -5 | |
- | | 0 | zero | 5 | -5 | |
- | | 0 | zero | 0 | | |
+ | | | null | | | | 0
+ | | 0 | zero | | | 1 | -1
+ | | 0 | zero | | | 2 | 2
+ | | 0 | zero | | | 3 | -3
+ | | 0 | zero | | | 2 | 4
+ | | 0 | zero | | | 5 | -5
+ | | 0 | zero | | | 5 | -5
+ | | 0 | zero | | | 0 |
| | 0 | zero | | | |
- | | 0 | zero | | 0 | |
- | 1 | 4 | one | 1 | -1 | | 0
- | 1 | 4 | one | 2 | 2 | | 0
- | 1 | 4 | one | 3 | -3 | | 0
- | 1 | 4 | one | 2 | 4 | | 0
- | 1 | 4 | one | 5 | -5 | | 0
- | 1 | 4 | one | 5 | -5 | | 0
- | 1 | 4 | one | 0 | | | 0
- | 1 | 4 | one | | | | 0
+ | | 0 | zero | | | | 0
+ | 1 | 4 | one | | 0 | 1 | -1
+ | 1 | 4 | one | | 0 | 2 | 2
+ | 1 | 4 | one | | 0 | 3 | -3
+ | 1 | 4 | one | | 0 | 2 | 4
+ | 1 | 4 | one | | 0 | 5 | -5
+ | 1 | 4 | one | | 0 | 5 | -5
+ | 1 | 4 | one | | 0 | 0 |
+ | 1 | 4 | one | | 0 | |
| 1 | 4 | one | | 0 | | 0
- | 2 | 3 | two | 1 | -1 | | 0
- | 2 | 3 | two | 2 | 2 | | 0
- | 2 | 3 | two | 3 | -3 | | 0
- | 2 | 3 | two | 2 | 4 | | 0
- | 2 | 3 | two | 5 | -5 | | 0
- | 2 | 3 | two | 5 | -5 | | 0
- | 2 | 3 | two | 0 | | | 0
- | 2 | 3 | two | | | | 0
+ | 2 | 3 | two | | 0 | 1 | -1
+ | 2 | 3 | two | | 0 | 2 | 2
+ | 2 | 3 | two | | 0 | 3 | -3
+ | 2 | 3 | two | | 0 | 2 | 4
+ | 2 | 3 | two | | 0 | 5 | -5
+ | 2 | 3 | two | | 0 | 5 | -5
+ | 2 | 3 | two | | 0 | 0 |
+ | 2 | 3 | two | | 0 | |
| 2 | 3 | two | | 0 | | 0
- | 3 | 2 | three | 1 | -1 | | 0
- | 3 | 2 | three | 2 | 2 | | 0
- | 3 | 2 | three | 3 | -3 | | 0
- | 3 | 2 | three | 2 | 4 | | 0
- | 3 | 2 | three | 5 | -5 | | 0
- | 3 | 2 | three | 5 | -5 | | 0
- | 3 | 2 | three | 0 | | | 0
- | 3 | 2 | three | | | | 0
+ | 3 | 2 | three | | 0 | 1 | -1
+ | 3 | 2 | three | | 0 | 2 | 2
+ | 3 | 2 | three | | 0 | 3 | -3
+ | 3 | 2 | three | | 0 | 2 | 4
+ | 3 | 2 | three | | 0 | 5 | -5
+ | 3 | 2 | three | | 0 | 5 | -5
+ | 3 | 2 | three | | 0 | 0 |
+ | 3 | 2 | three | | 0 | |
| 3 | 2 | three | | 0 | | 0
- | 4 | 1 | four | 1 | -1 | | 0
- | 4 | 1 | four | 2 | 2 | | 0
- | 4 | 1 | four | 3 | -3 | | 0
- | 4 | 1 | four | 2 | 4 | | 0
- | 4 | 1 | four | 5 | -5 | | 0
- | 4 | 1 | four | 5 | -5 | | 0
- | 4 | 1 | four | 0 | | | 0
- | 4 | 1 | four | | | | 0
+ | 4 | 1 | four | | 0 | 1 | -1
+ | 4 | 1 | four | | 0 | 2 | 2
+ | 4 | 1 | four | | 0 | 3 | -3
+ | 4 | 1 | four | | 0 | 2 | 4
+ | 4 | 1 | four | | 0 | 5 | -5
+ | 4 | 1 | four | | 0 | 5 | -5
+ | 4 | 1 | four | | 0 | 0 |
+ | 4 | 1 | four | | 0 | |
| 4 | 1 | four | | 0 | | 0
- | 5 | 0 | five | 1 | -1 | | 0
- | 5 | 0 | five | 2 | 2 | | 0
- | 5 | 0 | five | 3 | -3 | | 0
- | 5 | 0 | five | 2 | 4 | | 0
- | 5 | 0 | five | 5 | -5 | | 0
- | 5 | 0 | five | 5 | -5 | | 0
- | 5 | 0 | five | 0 | | | 0
- | 5 | 0 | five | | | | 0
+ | 5 | 0 | five | | 0 | 1 | -1
+ | 5 | 0 | five | | 0 | 2 | 2
+ | 5 | 0 | five | | 0 | 3 | -3
+ | 5 | 0 | five | | 0 | 2 | 4
+ | 5 | 0 | five | | 0 | 5 | -5
+ | 5 | 0 | five | | 0 | 5 | -5
+ | 5 | 0 | five | | 0 | 0 |
+ | 5 | 0 | five | | 0 | |
| 5 | 0 | five | | 0 | | 0
- | 6 | 6 | six | 1 | -1 | | 0
- | 6 | 6 | six | 2 | 2 | | 0
- | 6 | 6 | six | 3 | -3 | | 0
- | 6 | 6 | six | 2 | 4 | | 0
- | 6 | 6 | six | 5 | -5 | | 0
- | 6 | 6 | six | 5 | -5 | | 0
- | 6 | 6 | six | 0 | | | 0
- | 6 | 6 | six | | | | 0
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+ | 6 | 6 | six | | 0 | 3 | -3
+ | 6 | 6 | six | | 0 | 2 | 4
+ | 6 | 6 | six | | 0 | 5 | -5
+ | 6 | 6 | six | | 0 | 5 | -5
+ | 6 | 6 | six | | 0 | 0 |
+ | 6 | 6 | six | | 0 | |
| 6 | 6 | six | | 0 | | 0
- | 7 | 7 | seven | 1 | -1 | | 0
- | 7 | 7 | seven | 2 | 2 | | 0
- | 7 | 7 | seven | 3 | -3 | | 0
- | 7 | 7 | seven | 2 | 4 | | 0
- | 7 | 7 | seven | 5 | -5 | | 0
- | 7 | 7 | seven | 5 | -5 | | 0
- | 7 | 7 | seven | 0 | | | 0
- | 7 | 7 | seven | | | | 0
+ | 7 | 7 | seven | | 0 | 1 | -1
+ | 7 | 7 | seven | | 0 | 2 | 2
+ | 7 | 7 | seven | | 0 | 3 | -3
+ | 7 | 7 | seven | | 0 | 2 | 4
+ | 7 | 7 | seven | | 0 | 5 | -5
+ | 7 | 7 | seven | | 0 | 5 | -5
+ | 7 | 7 | seven | | 0 | 0 |
+ | 7 | 7 | seven | | 0 | |
| 7 | 7 | seven | | 0 | | 0
- | 8 | 8 | eight | 1 | -1 | | 0
- | 8 | 8 | eight | 2 | 2 | | 0
- | 8 | 8 | eight | 3 | -3 | | 0
- | 8 | 8 | eight | 2 | 4 | | 0
- | 8 | 8 | eight | 5 | -5 | | 0
- | 8 | 8 | eight | 5 | -5 | | 0
- | 8 | 8 | eight | 0 | | | 0
- | 8 | 8 | eight | | | | 0
+ | 8 | 8 | eight | | 0 | 1 | -1
+ | 8 | 8 | eight | | 0 | 2 | 2
+ | 8 | 8 | eight | | 0 | 3 | -3
+ | 8 | 8 | eight | | 0 | 2 | 4
+ | 8 | 8 | eight | | 0 | 5 | -5
+ | 8 | 8 | eight | | 0 | 5 | -5
+ | 8 | 8 | eight | | 0 | 0 |
+ | 8 | 8 | eight | | 0 | |
| 8 | 8 | eight | | 0 | | 0
- | 0 | | zero | 1 | -1 | | 0
- | 0 | | zero | 2 | 2 | | 0
- | 0 | | zero | 3 | -3 | | 0
- | 0 | | zero | 2 | 4 | | 0
- | 0 | | zero | 5 | -5 | | 0
- | 0 | | zero | 5 | -5 | | 0
- | 0 | | zero | 0 | | | 0
- | 0 | | zero | | | | 0
+ | 0 | | zero | | 0 | 1 | -1
+ | 0 | | zero | | 0 | 2 | 2
+ | 0 | | zero | | 0 | 3 | -3
+ | 0 | | zero | | 0 | 2 | 4
+ | 0 | | zero | | 0 | 5 | -5
+ | 0 | | zero | | 0 | 5 | -5
+ | 0 | | zero | | 0 | 0 |
+ | 0 | | zero | | 0 | |
| 0 | | zero | | 0 | | 0
- | | | null | 1 | -1 | | 0
- | | | null | 2 | 2 | | 0
- | | | null | 3 | -3 | | 0
- | | | null | 2 | 4 | | 0
- | | | null | 5 | -5 | | 0
- | | | null | 5 | -5 | | 0
- | | | null | 0 | | | 0
- | | | null | | | | 0
+ | | | null | | 0 | 1 | -1
+ | | | null | | 0 | 2 | 2
+ | | | null | | 0 | 3 | -3
+ | | | null | | 0 | 2 | 4
+ | | | null | | 0 | 5 | -5
+ | | | null | | 0 | 5 | -5
+ | | | null | | 0 | 0 |
+ | | | null | | 0 | |
| | | null | | 0 | | 0
- | | 0 | zero | 1 | -1 | | 0
- | | 0 | zero | 2 | 2 | | 0
- | | 0 | zero | 3 | -3 | | 0
- | | 0 | zero | 2 | 4 | | 0
- | | 0 | zero | 5 | -5 | | 0
- | | 0 | zero | 5 | -5 | | 0
- | | 0 | zero | 0 | | | 0
- | | 0 | zero | | | | 0
+ | | 0 | zero | | 0 | 1 | -1
+ | | 0 | zero | | 0 | 2 | 2
+ | | 0 | zero | | 0 | 3 | -3
+ | | 0 | zero | | 0 | 2 | 4
+ | | 0 | zero | | 0 | 5 | -5
+ | | 0 | zero | | 0 | 5 | -5
+ | | 0 | zero | | 0 | 0 |
+ | | 0 | zero | | 0 | |
| | 0 | zero | | 0 | | 0
(891 rows)