Rewrite the planner's handling of materialized plan types so that there is

an explicit model of rescan costs being different from first-time costs.
The costing of Material nodes in particular now has some visible relationship
to the actual runtime behavior, where before it was essentially fantasy.
This also fixes up a couple of places where different materialized plan types
were treated differently for no very good reason (probably just oversights).

A couple of the regression tests are affected, because the planner now chooses
to put the other relation on the inside of a nestloop-with-materialize.
So far as I can see both changes are sane, and the planner is now more
consistently following the expectation that it should prefer to materialize
the smaller of two relations.

Per a recent discussion with Robert Haas.

4 files changed, 818 insertions, 818 deletions

diff --git a/src/test/regress/expected/geometry.out b/src/test/regress/expected/geometry.out
index 6910e54ec6..81237252eb 100644
--- a/src/test/regress/expected/geometry.out
+++ b/src/test/regress/expected/geometry.out
@@ -260,24 +260,24 @@ SELECT '' AS twenty, b.f1 / p.f1 AS rotation
  twenty |                               rotation                               
 --------+----------------------------------------------------------------------
         | (0,-0),(-0.2,-0.2)
-        | (-0.1,-0.1),(-0.3,-0.3)
-        | (-0.25,-0.25),(-0.25,-0.35)
-        | (-0.3,-0.3),(-0.3,-0.3)
         | (0.08,-0),(0,-0.56)
-        | (0.12,-0.28),(0.04,-0.84)
-        | (0.26,-0.7),(0.1,-0.82)
-        | (0.12,-0.84),(0.12,-0.84)
         | (0.0651176557644,0),(0,-0.0483449262493)
-        | (0.0976764836466,-0.0241724631247),(0.0325588278822,-0.072517389374)
-        | (0.109762715209,-0.0562379754329),(0.0813970697055,-0.0604311578117)
-        | (0.0976764836466,-0.072517389374),(0.0976764836466,-0.072517389374)
         | (-0,0.0828402366864),(-0.201183431953,0)
-        | (-0.100591715976,0.12426035503),(-0.301775147929,0.0414201183432)
-        | (-0.251479289941,0.103550295858),(-0.322485207101,0.0739644970414)
-        | (-0.301775147929,0.12426035503),(-0.301775147929,0.12426035503)
         | (0.2,0),(0,0)
+        | (-0.1,-0.1),(-0.3,-0.3)
+        | (0.12,-0.28),(0.04,-0.84)
+        | (0.0976764836466,-0.0241724631247),(0.0325588278822,-0.072517389374)
+        | (-0.100591715976,0.12426035503),(-0.301775147929,0.0414201183432)
         | (0.3,0),(0.1,0)
+        | (-0.25,-0.25),(-0.25,-0.35)
+        | (0.26,-0.7),(0.1,-0.82)
+        | (0.109762715209,-0.0562379754329),(0.0813970697055,-0.0604311578117)
+        | (-0.251479289941,0.103550295858),(-0.322485207101,0.0739644970414)
         | (0.3,0.05),(0.25,0)
+        | (-0.3,-0.3),(-0.3,-0.3)
+        | (0.12,-0.84),(0.12,-0.84)
+        | (0.0976764836466,-0.072517389374),(0.0976764836466,-0.072517389374)
+        | (-0.301775147929,0.12426035503),(-0.301775147929,0.12426035503)
         | (0.3,0),(0.3,0)
 (20 rows)
 
diff --git a/src/test/regress/expected/geometry_1.out b/src/test/regress/expected/geometry_1.out
index 0e01492525..684ccd7168 100644
--- a/src/test/regress/expected/geometry_1.out
+++ b/src/test/regress/expected/geometry_1.out
@@ -260,24 +260,24 @@ SELECT '' AS twenty, b.f1 / p.f1 AS rotation
  twenty |                               rotation                               
 --------+----------------------------------------------------------------------
         | (0,0),(-0.2,-0.2)
-        | (-0.1,-0.1),(-0.3,-0.3)
-        | (-0.25,-0.25),(-0.25,-0.35)
-        | (-0.3,-0.3),(-0.3,-0.3)
         | (0.08,0),(0,-0.56)
-        | (0.12,-0.28),(0.04,-0.84)
-        | (0.26,-0.7),(0.1,-0.82)
-        | (0.12,-0.84),(0.12,-0.84)
         | (0.0651176557644,0),(0,-0.0483449262493)
-        | (0.0976764836466,-0.0241724631247),(0.0325588278822,-0.072517389374)
-        | (0.109762715209,-0.0562379754329),(0.0813970697055,-0.0604311578117)
-        | (0.0976764836466,-0.072517389374),(0.0976764836466,-0.072517389374)
         | (0,0.0828402366864),(-0.201183431953,0)
-        | (-0.100591715976,0.12426035503),(-0.301775147929,0.0414201183432)
-        | (-0.251479289941,0.103550295858),(-0.322485207101,0.0739644970414)
-        | (-0.301775147929,0.12426035503),(-0.301775147929,0.12426035503)
         | (0.2,0),(0,0)
+        | (-0.1,-0.1),(-0.3,-0.3)
+        | (0.12,-0.28),(0.04,-0.84)
+        | (0.0976764836466,-0.0241724631247),(0.0325588278822,-0.072517389374)
+        | (-0.100591715976,0.12426035503),(-0.301775147929,0.0414201183432)
         | (0.3,0),(0.1,0)
+        | (-0.25,-0.25),(-0.25,-0.35)
+        | (0.26,-0.7),(0.1,-0.82)
+        | (0.109762715209,-0.0562379754329),(0.0813970697055,-0.0604311578117)
+        | (-0.251479289941,0.103550295858),(-0.322485207101,0.0739644970414)
         | (0.3,0.05),(0.25,0)
+        | (-0.3,-0.3),(-0.3,-0.3)
+        | (0.12,-0.84),(0.12,-0.84)
+        | (0.0976764836466,-0.072517389374),(0.0976764836466,-0.072517389374)
+        | (-0.301775147929,0.12426035503),(-0.301775147929,0.12426035503)
         | (0.3,0),(0.3,0)
 (20 rows)
 
diff --git a/src/test/regress/expected/geometry_2.out b/src/test/regress/expected/geometry_2.out
index 7787dab061..658dba48aa 100644
--- a/src/test/regress/expected/geometry_2.out
+++ b/src/test/regress/expected/geometry_2.out
@@ -260,24 +260,24 @@ SELECT '' AS twenty, b.f1 / p.f1 AS rotation
  twenty |                               rotation                               
 --------+----------------------------------------------------------------------
         | (0,-0),(-0.2,-0.2)
-        | (-0.1,-0.1),(-0.3,-0.3)
-        | (-0.25,-0.25),(-0.25,-0.35)
-        | (-0.3,-0.3),(-0.3,-0.3)
         | (0.08,-0),(0,-0.56)
-        | (0.12,-0.28),(0.04,-0.84)
-        | (0.26,-0.7),(0.1,-0.82)
-        | (0.12,-0.84),(0.12,-0.84)
         | (0.0651176557644,0),(0,-0.0483449262493)
-        | (0.0976764836466,-0.0241724631247),(0.0325588278822,-0.072517389374)
-        | (0.109762715209,-0.0562379754329),(0.0813970697055,-0.0604311578117)
-        | (0.0976764836466,-0.072517389374),(0.0976764836466,-0.072517389374)
         | (-0,0.0828402366864),(-0.201183431953,0)
-        | (-0.100591715976,0.12426035503),(-0.301775147929,0.0414201183432)
-        | (-0.251479289941,0.103550295858),(-0.322485207101,0.0739644970414)
-        | (-0.301775147929,0.12426035503),(-0.301775147929,0.12426035503)
         | (0.2,0),(0,0)
+        | (-0.1,-0.1),(-0.3,-0.3)
+        | (0.12,-0.28),(0.04,-0.84)
+        | (0.0976764836466,-0.0241724631247),(0.0325588278822,-0.072517389374)
+        | (-0.100591715976,0.12426035503),(-0.301775147929,0.0414201183432)
         | (0.3,0),(0.1,0)
+        | (-0.25,-0.25),(-0.25,-0.35)
+        | (0.26,-0.7),(0.1,-0.82)
+        | (0.109762715209,-0.0562379754329),(0.0813970697055,-0.0604311578117)
+        | (-0.251479289941,0.103550295858),(-0.322485207101,0.0739644970414)
         | (0.3,0.05),(0.25,0)
+        | (-0.3,-0.3),(-0.3,-0.3)
+        | (0.12,-0.84),(0.12,-0.84)
+        | (0.0976764836466,-0.072517389374),(0.0976764836466,-0.072517389374)
+        | (-0.301775147929,0.12426035503),(-0.301775147929,0.12426035503)
         | (0.3,0),(0.3,0)
 (20 rows)
 
diff --git a/src/test/regress/expected/join.out b/src/test/regress/expected/join.out
index dd9bf9c43f..0dc3e56960 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
-     | 2 | 3 | two   | 1 | -1 | 1 | -1
-     | 3 | 2 | three | 1 | -1 | 1 | -1
-     | 4 | 1 | four  | 1 | -1 | 1 | -1
-     | 5 | 0 | five  | 1 | -1 | 1 | -1
-     | 6 | 6 | six   | 1 | -1 | 1 | -1
-     | 7 | 7 | seven | 1 | -1 | 1 | -1
-     | 8 | 8 | eight | 1 | -1 | 1 | -1
-     | 0 |   | zero  | 1 | -1 | 1 | -1
-     |   |   | null  | 1 | -1 | 1 | -1
-     |   | 0 | zero  | 1 | -1 | 1 | -1
-     | 1 | 4 | one   | 1 | -1 | 2 |  2
-     | 2 | 3 | two   | 1 | -1 | 2 |  2
-     | 3 | 2 | three | 1 | -1 | 2 |  2
-     | 4 | 1 | four  | 1 | -1 | 2 |  2
-     | 5 | 0 | five  | 1 | -1 | 2 |  2
-     | 6 | 6 | six   | 1 | -1 | 2 |  2
-     | 7 | 7 | seven | 1 | -1 | 2 |  2
-     | 8 | 8 | eight | 1 | -1 | 2 |  2
-     | 0 |   | zero  | 1 | -1 | 2 |  2
-     |   |   | null  | 1 | -1 | 2 |  2
-     |   | 0 | zero  | 1 | -1 | 2 |  2
-     | 1 | 4 | one   | 1 | -1 | 3 | -3
-     | 2 | 3 | two   | 1 | -1 | 3 | -3
-     | 3 | 2 | three | 1 | -1 | 3 | -3
-     | 4 | 1 | four  | 1 | -1 | 3 | -3
-     | 5 | 0 | five  | 1 | -1 | 3 | -3
-     | 6 | 6 | six   | 1 | -1 | 3 | -3
-     | 7 | 7 | seven | 1 | -1 | 3 | -3
-     | 8 | 8 | eight | 1 | -1 | 3 | -3
-     | 0 |   | zero  | 1 | -1 | 3 | -3
-     |   |   | null  | 1 | -1 | 3 | -3
-     |   | 0 | zero  | 1 | -1 | 3 | -3
-     | 1 | 4 | one   | 1 | -1 | 2 |  4
-     | 2 | 3 | two   | 1 | -1 | 2 |  4
-     | 3 | 2 | three | 1 | -1 | 2 |  4
-     | 4 | 1 | four  | 1 | -1 | 2 |  4
-     | 5 | 0 | five  | 1 | -1 | 2 |  4
-     | 6 | 6 | six   | 1 | -1 | 2 |  4
-     | 7 | 7 | seven | 1 | -1 | 2 |  4
-     | 8 | 8 | eight | 1 | -1 | 2 |  4
-     | 0 |   | zero  | 1 | -1 | 2 |  4
-     |   |   | null  | 1 | -1 | 2 |  4
-     |   | 0 | zero  | 1 | -1 | 2 |  4
-     | 1 | 4 | one   | 1 | -1 | 5 | -5
-     | 2 | 3 | two   | 1 | -1 | 5 | -5
-     | 3 | 2 | three | 1 | -1 | 5 | -5
-     | 4 | 1 | four  | 1 | -1 | 5 | -5
-     | 5 | 0 | five  | 1 | -1 | 5 | -5
-     | 6 | 6 | six   | 1 | -1 | 5 | -5
-     | 7 | 7 | seven | 1 | -1 | 5 | -5
-     | 8 | 8 | eight | 1 | -1 | 5 | -5
-     | 0 |   | zero  | 1 | -1 | 5 | -5
-     |   |   | null  | 1 | -1 | 5 | -5
-     |   | 0 | zero  | 1 | -1 | 5 | -5
-     | 1 | 4 | one   | 1 | -1 | 5 | -5
-     | 2 | 3 | two   | 1 | -1 | 5 | -5
-     | 3 | 2 | three | 1 | -1 | 5 | -5
-     | 4 | 1 | four  | 1 | -1 | 5 | -5
-     | 5 | 0 | five  | 1 | -1 | 5 | -5
-     | 6 | 6 | six   | 1 | -1 | 5 | -5
-     | 7 | 7 | seven | 1 | -1 | 5 | -5
-     | 8 | 8 | eight | 1 | -1 | 5 | -5
-     | 0 |   | zero  | 1 | -1 | 5 | -5
-     |   |   | null  | 1 | -1 | 5 | -5
-     |   | 0 | zero  | 1 | -1 | 5 | -5
-     | 1 | 4 | one   | 1 | -1 | 0 |   
-     | 2 | 3 | two   | 1 | -1 | 0 |   
-     | 3 | 2 | three | 1 | -1 | 0 |   
-     | 4 | 1 | four  | 1 | -1 | 0 |   
-     | 5 | 0 | five  | 1 | -1 | 0 |   
-     | 6 | 6 | six   | 1 | -1 | 0 |   
-     | 7 | 7 | seven | 1 | -1 | 0 |   
-     | 8 | 8 | eight | 1 | -1 | 0 |   
-     | 0 |   | zero  | 1 | -1 | 0 |   
-     |   |   | null  | 1 | -1 | 0 |   
-     |   | 0 | zero  | 1 | -1 | 0 |   
-     | 1 | 4 | one   | 1 | -1 |   |   
-     | 2 | 3 | two   | 1 | -1 |   |   
-     | 3 | 2 | three | 1 | -1 |   |   
-     | 4 | 1 | four  | 1 | -1 |   |   
-     | 5 | 0 | five  | 1 | -1 |   |   
-     | 6 | 6 | six   | 1 | -1 |   |   
-     | 7 | 7 | seven | 1 | -1 |   |   
-     | 8 | 8 | eight | 1 | -1 |   |   
-     | 0 |   | zero  | 1 | -1 |   |   
-     |   |   | null  | 1 | -1 |   |   
-     |   | 0 | zero  | 1 | -1 |   |   
-     | 1 | 4 | one   | 1 | -1 |   |  0
-     | 2 | 3 | two   | 1 | -1 |   |  0
-     | 3 | 2 | three | 1 | -1 |   |  0
-     | 4 | 1 | four  | 1 | -1 |   |  0
-     | 5 | 0 | five  | 1 | -1 |   |  0
-     | 6 | 6 | six   | 1 | -1 |   |  0
-     | 7 | 7 | seven | 1 | -1 |   |  0
-     | 8 | 8 | eight | 1 | -1 |   |  0
-     | 0 |   | zero  | 1 | -1 |   |  0
-     |   |   | null  | 1 | -1 |   |  0
-     |   | 0 | zero  | 1 | -1 |   |  0
      | 1 | 4 | one   | 2 |  2 | 1 | -1
-     | 2 | 3 | two   | 2 |  2 | 1 | -1
-     | 3 | 2 | three | 2 |  2 | 1 | -1
-     | 4 | 1 | four  | 2 |  2 | 1 | -1
-     | 5 | 0 | five  | 2 |  2 | 1 | -1
-     | 6 | 6 | six   | 2 |  2 | 1 | -1
-     | 7 | 7 | seven | 2 |  2 | 1 | -1
-     | 8 | 8 | eight | 2 |  2 | 1 | -1
-     | 0 |   | zero  | 2 |  2 | 1 | -1
-     |   |   | null  | 2 |  2 | 1 | -1
-     |   | 0 | zero  | 2 |  2 | 1 | -1
-     | 1 | 4 | one   | 2 |  2 | 2 |  2
-     | 2 | 3 | two   | 2 |  2 | 2 |  2
-     | 3 | 2 | three | 2 |  2 | 2 |  2
-     | 4 | 1 | four  | 2 |  2 | 2 |  2
-     | 5 | 0 | five  | 2 |  2 | 2 |  2
-     | 6 | 6 | six   | 2 |  2 | 2 |  2
-     | 7 | 7 | seven | 2 |  2 | 2 |  2
-     | 8 | 8 | eight | 2 |  2 | 2 |  2
-     | 0 |   | zero  | 2 |  2 | 2 |  2
-     |   |   | null  | 2 |  2 | 2 |  2
-     |   | 0 | zero  | 2 |  2 | 2 |  2
-     | 1 | 4 | one   | 2 |  2 | 3 | -3
-     | 2 | 3 | two   | 2 |  2 | 3 | -3
-     | 3 | 2 | three | 2 |  2 | 3 | -3
-     | 4 | 1 | four  | 2 |  2 | 3 | -3
-     | 5 | 0 | five  | 2 |  2 | 3 | -3
-     | 6 | 6 | six   | 2 |  2 | 3 | -3
-     | 7 | 7 | seven | 2 |  2 | 3 | -3
-     | 8 | 8 | eight | 2 |  2 | 3 | -3
-     | 0 |   | zero  | 2 |  2 | 3 | -3
-     |   |   | null  | 2 |  2 | 3 | -3
-     |   | 0 | zero  | 2 |  2 | 3 | -3
-     | 1 | 4 | one   | 2 |  2 | 2 |  4
-     | 2 | 3 | two   | 2 |  2 | 2 |  4
-     | 3 | 2 | three | 2 |  2 | 2 |  4
-     | 4 | 1 | four  | 2 |  2 | 2 |  4
-     | 5 | 0 | five  | 2 |  2 | 2 |  4
-     | 6 | 6 | six   | 2 |  2 | 2 |  4
-     | 7 | 7 | seven | 2 |  2 | 2 |  4
-     | 8 | 8 | eight | 2 |  2 | 2 |  4
-     | 0 |   | zero  | 2 |  2 | 2 |  4
-     |   |   | null  | 2 |  2 | 2 |  4
-     |   | 0 | zero  | 2 |  2 | 2 |  4
-     | 1 | 4 | one   | 2 |  2 | 5 | -5
-     | 2 | 3 | two   | 2 |  2 | 5 | -5
-     | 3 | 2 | three | 2 |  2 | 5 | -5
-     | 4 | 1 | four  | 2 |  2 | 5 | -5
-     | 5 | 0 | five  | 2 |  2 | 5 | -5
-     | 6 | 6 | six   | 2 |  2 | 5 | -5
-     | 7 | 7 | seven | 2 |  2 | 5 | -5
-     | 8 | 8 | eight | 2 |  2 | 5 | -5
-     | 0 |   | zero  | 2 |  2 | 5 | -5
-     |   |   | null  | 2 |  2 | 5 | -5
-     |   | 0 | zero  | 2 |  2 | 5 | -5
-     | 1 | 4 | one   | 2 |  2 | 5 | -5
-     | 2 | 3 | two   | 2 |  2 | 5 | -5
-     | 3 | 2 | three | 2 |  2 | 5 | -5
-     | 4 | 1 | four  | 2 |  2 | 5 | -5
-     | 5 | 0 | five  | 2 |  2 | 5 | -5
-     | 6 | 6 | six   | 2 |  2 | 5 | -5
-     | 7 | 7 | seven | 2 |  2 | 5 | -5
-     | 8 | 8 | eight | 2 |  2 | 5 | -5
-     | 0 |   | zero  | 2 |  2 | 5 | -5
-     |   |   | null  | 2 |  2 | 5 | -5
-     |   | 0 | zero  | 2 |  2 | 5 | -5
-     | 1 | 4 | one   | 2 |  2 | 0 |   
-     | 2 | 3 | two   | 2 |  2 | 0 |   
-     | 3 | 2 | three | 2 |  2 | 0 |   
-     | 4 | 1 | four  | 2 |  2 | 0 |   
-     | 5 | 0 | five  | 2 |  2 | 0 |   
-     | 6 | 6 | six   | 2 |  2 | 0 |   
-     | 7 | 7 | seven | 2 |  2 | 0 |   
-     | 8 | 8 | eight | 2 |  2 | 0 |   
-     | 0 |   | zero  | 2 |  2 | 0 |   
-     |   |   | null  | 2 |  2 | 0 |   
-     |   | 0 | zero  | 2 |  2 | 0 |   
-     | 1 | 4 | one   | 2 |  2 |   |   
-     | 2 | 3 | two   | 2 |  2 |   |   
-     | 3 | 2 | three | 2 |  2 |   |   
-     | 4 | 1 | four  | 2 |  2 |   |   
-     | 5 | 0 | five  | 2 |  2 |   |   
-     | 6 | 6 | six   | 2 |  2 |   |   
-     | 7 | 7 | seven | 2 |  2 |   |   
-     | 8 | 8 | eight | 2 |  2 |   |   
-     | 0 |   | zero  | 2 |  2 |   |   
-     |   |   | null  | 2 |  2 |   |   
-     |   | 0 | zero  | 2 |  2 |   |   
-     | 1 | 4 | one   | 2 |  2 |   |  0
-     | 2 | 3 | two   | 2 |  2 |   |  0
-     | 3 | 2 | three | 2 |  2 |   |  0
-     | 4 | 1 | four  | 2 |  2 |   |  0
-     | 5 | 0 | five  | 2 |  2 |   |  0
-     | 6 | 6 | six   | 2 |  2 |   |  0
-     | 7 | 7 | seven | 2 |  2 |   |  0
-     | 8 | 8 | eight | 2 |  2 |   |  0
-     | 0 |   | zero  | 2 |  2 |   |  0
-     |   |   | null  | 2 |  2 |   |  0
-     |   | 0 | zero  | 2 |  2 |   |  0
      | 1 | 4 | one   | 3 | -3 | 1 | -1
-     | 2 | 3 | two   | 3 | -3 | 1 | -1
-     | 3 | 2 | three | 3 | -3 | 1 | -1
-     | 4 | 1 | four  | 3 | -3 | 1 | -1
-     | 5 | 0 | five  | 3 | -3 | 1 | -1
-     | 6 | 6 | six   | 3 | -3 | 1 | -1
-     | 7 | 7 | seven | 3 | -3 | 1 | -1
-     | 8 | 8 | eight | 3 | -3 | 1 | -1
-     | 0 |   | zero  | 3 | -3 | 1 | -1
-     |   |   | null  | 3 | -3 | 1 | -1
-     |   | 0 | zero  | 3 | -3 | 1 | -1
-     | 1 | 4 | one   | 3 | -3 | 2 |  2
-     | 2 | 3 | two   | 3 | -3 | 2 |  2
-     | 3 | 2 | three | 3 | -3 | 2 |  2
-     | 4 | 1 | four  | 3 | -3 | 2 |  2
-     | 5 | 0 | five  | 3 | -3 | 2 |  2
-     | 6 | 6 | six   | 3 | -3 | 2 |  2
-     | 7 | 7 | seven | 3 | -3 | 2 |  2
-     | 8 | 8 | eight | 3 | -3 | 2 |  2
-     | 0 |   | zero  | 3 | -3 | 2 |  2
-     |   |   | null  | 3 | -3 | 2 |  2
-     |   | 0 | zero  | 3 | -3 | 2 |  2
-     | 1 | 4 | one   | 3 | -3 | 3 | -3
-     | 2 | 3 | two   | 3 | -3 | 3 | -3
-     | 3 | 2 | three | 3 | -3 | 3 | -3
-     | 4 | 1 | four  | 3 | -3 | 3 | -3
-     | 5 | 0 | five  | 3 | -3 | 3 | -3
-     | 6 | 6 | six   | 3 | -3 | 3 | -3
-     | 7 | 7 | seven | 3 | -3 | 3 | -3
-     | 8 | 8 | eight | 3 | -3 | 3 | -3
-     | 0 |   | zero  | 3 | -3 | 3 | -3
-     |   |   | null  | 3 | -3 | 3 | -3
-     |   | 0 | zero  | 3 | -3 | 3 | -3
-     | 1 | 4 | one   | 3 | -3 | 2 |  4
-     | 2 | 3 | two   | 3 | -3 | 2 |  4
-     | 3 | 2 | three | 3 | -3 | 2 |  4
-     | 4 | 1 | four  | 3 | -3 | 2 |  4
-     | 5 | 0 | five  | 3 | -3 | 2 |  4
-     | 6 | 6 | six   | 3 | -3 | 2 |  4
-     | 7 | 7 | seven | 3 | -3 | 2 |  4
-     | 8 | 8 | eight | 3 | -3 | 2 |  4
-     | 0 |   | zero  | 3 | -3 | 2 |  4
-     |   |   | null  | 3 | -3 | 2 |  4
-     |   | 0 | zero  | 3 | -3 | 2 |  4
-     | 1 | 4 | one   | 3 | -3 | 5 | -5
-     | 2 | 3 | two   | 3 | -3 | 5 | -5
-     | 3 | 2 | three | 3 | -3 | 5 | -5
-     | 4 | 1 | four  | 3 | -3 | 5 | -5
-     | 5 | 0 | five  | 3 | -3 | 5 | -5
-     | 6 | 6 | six   | 3 | -3 | 5 | -5
-     | 7 | 7 | seven | 3 | -3 | 5 | -5
-     | 8 | 8 | eight | 3 | -3 | 5 | -5
-     | 0 |   | zero  | 3 | -3 | 5 | -5
-     |   |   | null  | 3 | -3 | 5 | -5
-     |   | 0 | zero  | 3 | -3 | 5 | -5
-     | 1 | 4 | one   | 3 | -3 | 5 | -5
-     | 2 | 3 | two   | 3 | -3 | 5 | -5
-     | 3 | 2 | three | 3 | -3 | 5 | -5
-     | 4 | 1 | four  | 3 | -3 | 5 | -5
-     | 5 | 0 | five  | 3 | -3 | 5 | -5
-     | 6 | 6 | six   | 3 | -3 | 5 | -5
-     | 7 | 7 | seven | 3 | -3 | 5 | -5
-     | 8 | 8 | eight | 3 | -3 | 5 | -5
-     | 0 |   | zero  | 3 | -3 | 5 | -5
-     |   |   | null  | 3 | -3 | 5 | -5
-     |   | 0 | zero  | 3 | -3 | 5 | -5
-     | 1 | 4 | one   | 3 | -3 | 0 |   
-     | 2 | 3 | two   | 3 | -3 | 0 |   
-     | 3 | 2 | three | 3 | -3 | 0 |   
-     | 4 | 1 | four  | 3 | -3 | 0 |   
-     | 5 | 0 | five  | 3 | -3 | 0 |   
-     | 6 | 6 | six   | 3 | -3 | 0 |   
-     | 7 | 7 | seven | 3 | -3 | 0 |   
-     | 8 | 8 | eight | 3 | -3 | 0 |   
-     | 0 |   | zero  | 3 | -3 | 0 |   
-     |   |   | null  | 3 | -3 | 0 |   
-     |   | 0 | zero  | 3 | -3 | 0 |   
-     | 1 | 4 | one   | 3 | -3 |   |   
-     | 2 | 3 | two   | 3 | -3 |   |   
-     | 3 | 2 | three | 3 | -3 |   |   
-     | 4 | 1 | four  | 3 | -3 |   |   
-     | 5 | 0 | five  | 3 | -3 |   |   
-     | 6 | 6 | six   | 3 | -3 |   |   
-     | 7 | 7 | seven | 3 | -3 |   |   
-     | 8 | 8 | eight | 3 | -3 |   |   
-     | 0 |   | zero  | 3 | -3 |   |   
-     |   |   | null  | 3 | -3 |   |   
-     |   | 0 | zero  | 3 | -3 |   |   
-     | 1 | 4 | one   | 3 | -3 |   |  0
-     | 2 | 3 | two   | 3 | -3 |   |  0
-     | 3 | 2 | three | 3 | -3 |   |  0
-     | 4 | 1 | four  | 3 | -3 |   |  0
-     | 5 | 0 | five  | 3 | -3 |   |  0
-     | 6 | 6 | six   | 3 | -3 |   |  0
-     | 7 | 7 | seven | 3 | -3 |   |  0
-     | 8 | 8 | eight | 3 | -3 |   |  0
-     | 0 |   | zero  | 3 | -3 |   |  0
-     |   |   | null  | 3 | -3 |   |  0
-     |   | 0 | zero  | 3 | -3 |   |  0
      | 1 | 4 | one   | 2 |  4 | 1 | -1
-     | 2 | 3 | two   | 2 |  4 | 1 | -1
-     | 3 | 2 | three | 2 |  4 | 1 | -1
-     | 4 | 1 | four  | 2 |  4 | 1 | -1
-     | 5 | 0 | five  | 2 |  4 | 1 | -1
-     | 6 | 6 | six   | 2 |  4 | 1 | -1
-     | 7 | 7 | seven | 2 |  4 | 1 | -1
-     | 8 | 8 | eight | 2 |  4 | 1 | -1
-     | 0 |   | zero  | 2 |  4 | 1 | -1
-     |   |   | null  | 2 |  4 | 1 | -1
-     |   | 0 | zero  | 2 |  4 | 1 | -1
-     | 1 | 4 | one   | 2 |  4 | 2 |  2
-     | 2 | 3 | two   | 2 |  4 | 2 |  2
-     | 3 | 2 | three | 2 |  4 | 2 |  2
-     | 4 | 1 | four  | 2 |  4 | 2 |  2
-     | 5 | 0 | five  | 2 |  4 | 2 |  2
-     | 6 | 6 | six   | 2 |  4 | 2 |  2
-     | 7 | 7 | seven | 2 |  4 | 2 |  2
-     | 8 | 8 | eight | 2 |  4 | 2 |  2
-     | 0 |   | zero  | 2 |  4 | 2 |  2
-     |   |   | null  | 2 |  4 | 2 |  2
-     |   | 0 | zero  | 2 |  4 | 2 |  2
-     | 1 | 4 | one   | 2 |  4 | 3 | -3
-     | 2 | 3 | two   | 2 |  4 | 3 | -3
-     | 3 | 2 | three | 2 |  4 | 3 | -3
-     | 4 | 1 | four  | 2 |  4 | 3 | -3
-     | 5 | 0 | five  | 2 |  4 | 3 | -3
-     | 6 | 6 | six   | 2 |  4 | 3 | -3
-     | 7 | 7 | seven | 2 |  4 | 3 | -3
-     | 8 | 8 | eight | 2 |  4 | 3 | -3
-     | 0 |   | zero  | 2 |  4 | 3 | -3
-     |   |   | null  | 2 |  4 | 3 | -3
-     |   | 0 | zero  | 2 |  4 | 3 | -3
-     | 1 | 4 | one   | 2 |  4 | 2 |  4
-     | 2 | 3 | two   | 2 |  4 | 2 |  4
-     | 3 | 2 | three | 2 |  4 | 2 |  4
-     | 4 | 1 | four  | 2 |  4 | 2 |  4
-     | 5 | 0 | five  | 2 |  4 | 2 |  4
-     | 6 | 6 | six   | 2 |  4 | 2 |  4
-     | 7 | 7 | seven | 2 |  4 | 2 |  4
-     | 8 | 8 | eight | 2 |  4 | 2 |  4
-     | 0 |   | zero  | 2 |  4 | 2 |  4
-     |   |   | null  | 2 |  4 | 2 |  4
-     |   | 0 | zero  | 2 |  4 | 2 |  4
-     | 1 | 4 | one   | 2 |  4 | 5 | -5
-     | 2 | 3 | two   | 2 |  4 | 5 | -5
-     | 3 | 2 | three | 2 |  4 | 5 | -5
-     | 4 | 1 | four  | 2 |  4 | 5 | -5
-     | 5 | 0 | five  | 2 |  4 | 5 | -5
-     | 6 | 6 | six   | 2 |  4 | 5 | -5
-     | 7 | 7 | seven | 2 |  4 | 5 | -5
-     | 8 | 8 | eight | 2 |  4 | 5 | -5
-     | 0 |   | zero  | 2 |  4 | 5 | -5
-     |   |   | null  | 2 |  4 | 5 | -5
-     |   | 0 | zero  | 2 |  4 | 5 | -5
-     | 1 | 4 | one   | 2 |  4 | 5 | -5
-     | 2 | 3 | two   | 2 |  4 | 5 | -5
-     | 3 | 2 | three | 2 |  4 | 5 | -5
-     | 4 | 1 | four  | 2 |  4 | 5 | -5
-     | 5 | 0 | five  | 2 |  4 | 5 | -5
-     | 6 | 6 | six   | 2 |  4 | 5 | -5
-     | 7 | 7 | seven | 2 |  4 | 5 | -5
-     | 8 | 8 | eight | 2 |  4 | 5 | -5
-     | 0 |   | zero  | 2 |  4 | 5 | -5
-     |   |   | null  | 2 |  4 | 5 | -5
-     |   | 0 | zero  | 2 |  4 | 5 | -5
-     | 1 | 4 | one   | 2 |  4 | 0 |   
-     | 2 | 3 | two   | 2 |  4 | 0 |   
-     | 3 | 2 | three | 2 |  4 | 0 |   
-     | 4 | 1 | four  | 2 |  4 | 0 |   
-     | 5 | 0 | five  | 2 |  4 | 0 |   
-     | 6 | 6 | six   | 2 |  4 | 0 |   
-     | 7 | 7 | seven | 2 |  4 | 0 |   
-     | 8 | 8 | eight | 2 |  4 | 0 |   
-     | 0 |   | zero  | 2 |  4 | 0 |   
-     |   |   | null  | 2 |  4 | 0 |   
-     |   | 0 | zero  | 2 |  4 | 0 |   
-     | 1 | 4 | one   | 2 |  4 |   |   
-     | 2 | 3 | two   | 2 |  4 |   |   
-     | 3 | 2 | three | 2 |  4 |   |   
-     | 4 | 1 | four  | 2 |  4 |   |   
-     | 5 | 0 | five  | 2 |  4 |   |   
-     | 6 | 6 | six   | 2 |  4 |   |   
-     | 7 | 7 | seven | 2 |  4 |   |   
-     | 8 | 8 | eight | 2 |  4 |   |   
-     | 0 |   | zero  | 2 |  4 |   |   
-     |   |   | null  | 2 |  4 |   |   
-     |   | 0 | zero  | 2 |  4 |   |   
-     | 1 | 4 | one   | 2 |  4 |   |  0
-     | 2 | 3 | two   | 2 |  4 |   |  0
-     | 3 | 2 | three | 2 |  4 |   |  0
-     | 4 | 1 | four  | 2 |  4 |   |  0
-     | 5 | 0 | five  | 2 |  4 |   |  0
-     | 6 | 6 | six   | 2 |  4 |   |  0
-     | 7 | 7 | seven | 2 |  4 |   |  0
-     | 8 | 8 | eight | 2 |  4 |   |  0
-     | 0 |   | zero  | 2 |  4 |   |  0
-     |   |   | null  | 2 |  4 |   |  0
-     |   | 0 | zero  | 2 |  4 |   |  0
      | 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
+     | 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
+     | 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
+     | 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
+     | 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
+     | 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
+     | 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
+     | 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
+     | 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
+     |   |   | 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
+     |   | 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
+     | 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
+     | 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
+     | 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
+     | 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
+     | 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
+     | 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
+     | 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
+     | 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
+     | 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
+     |   |   | 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
+     |   | 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
+     | 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
+     | 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
+     | 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
+     | 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
+     | 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
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+     | 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
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+     | 6 | 6 | six   |   |  0 | 3 | -3
+     | 7 | 7 | seven | 1 | -1 | 3 | -3
+     | 7 | 7 | seven | 2 |  2 | 3 | -3
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+     | 7 | 7 | seven | 2 |  4 | 3 | -3
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      | 7 | 7 | seven | 5 | -5 | 3 | -3
+     | 7 | 7 | seven | 0 |    | 3 | -3
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+     | 7 | 7 | seven |   |  0 | 3 | -3
+     | 8 | 8 | eight | 1 | -1 | 3 | -3
+     | 8 | 8 | eight | 2 |  2 | 3 | -3
+     | 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
+     | 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
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+     |   |   | 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
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+     |   | 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
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+     | 1 | 4 | one   | 5 | -5 | 2 |  4
      | 1 | 4 | one   | 5 | -5 | 2 |  4
+     | 1 | 4 | one   | 0 |    | 2 |  4
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      | 2 | 3 | two   | 5 | -5 | 2 |  4
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      | 3 | 2 | three | 5 | -5 | 2 |  4
+     | 3 | 2 | three | 0 |    | 2 |  4
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+     | 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
+     | 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
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+     | 4 | 1 | four  |   |  0 | 2 |  4
+     | 5 | 0 | five  | 1 | -1 | 2 |  4
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+     | 5 | 0 | five  | 5 | -5 | 2 |  4
      | 5 | 0 | five  | 5 | -5 | 2 |  4
+     | 5 | 0 | five  | 0 |    | 2 |  4
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+     | 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
+     | 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
+     | 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
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+     | 7 | 7 | seven |   |  0 | 2 |  4
+     | 8 | 8 | eight | 1 | -1 | 2 |  4
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+     | 8 | 8 | eight | 3 | -3 | 2 |  4
+     | 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
+     | 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
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+     |   |   | null  | 3 | -3 | 2 |  4
+     |   |   | 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
+     |   | 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
      | 1 | 4 | one   | 5 | -5 | 5 | -5
-     | 2 | 3 | two   | 5 | -5 | 5 | -5
-     | 3 | 2 | three | 5 | -5 | 5 | -5
-     | 4 | 1 | four  | 5 | -5 | 5 | -5
-     | 5 | 0 | five  | 5 | -5 | 5 | -5
-     | 6 | 6 | six   | 5 | -5 | 5 | -5
-     | 7 | 7 | seven | 5 | -5 | 5 | -5
-     | 8 | 8 | eight | 5 | -5 | 5 | -5
-     | 0 |   | zero  | 5 | -5 | 5 | -5
-     |   |   | null  | 5 | -5 | 5 | -5
-     |   | 0 | zero  | 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
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+     | 2 | 3 | two   | 2 |  2 | 5 | -5
+     | 2 | 3 | two   | 3 | -3 | 5 | -5
+     | 2 | 3 | two   | 2 |  4 | 5 | -5
      | 2 | 3 | two   | 5 | -5 | 5 | -5
-     | 3 | 2 | three | 5 | -5 | 5 | -5
-     | 4 | 1 | four  | 5 | -5 | 5 | -5
-     | 5 | 0 | five  | 5 | -5 | 5 | -5
-     | 6 | 6 | six   | 5 | -5 | 5 | -5
-     | 7 | 7 | seven | 5 | -5 | 5 | -5
-     | 8 | 8 | eight | 5 | -5 | 5 | -5
-     | 0 |   | zero  | 5 | -5 | 5 | -5
-     |   |   | null  | 5 | -5 | 5 | -5
-     |   | 0 | zero  | 5 | -5 | 5 | -5
-     | 1 | 4 | one   | 5 | -5 | 0 |   
-     | 2 | 3 | two   | 5 | -5 | 0 |   
-     | 3 | 2 | three | 5 | -5 | 0 |   
-     | 4 | 1 | four  | 5 | -5 | 0 |   
-     | 5 | 0 | five  | 5 | -5 | 0 |   
-     | 6 | 6 | six   | 5 | -5 | 0 |   
-     | 7 | 7 | seven | 5 | -5 | 0 |   
-     | 8 | 8 | eight | 5 | -5 | 0 |   
-     | 0 |   | zero  | 5 | -5 | 0 |   
-     |   |   | null  | 5 | -5 | 0 |   
-     |   | 0 | zero  | 5 | -5 | 0 |   
-     | 1 | 4 | one   | 5 | -5 |   |   
-     | 2 | 3 | two   | 5 | -5 |   |   
-     | 3 | 2 | three | 5 | -5 |   |   
-     | 4 | 1 | four  | 5 | -5 |   |   
-     | 5 | 0 | five  | 5 | -5 |   |   
-     | 6 | 6 | six   | 5 | -5 |   |   
-     | 7 | 7 | seven | 5 | -5 |   |   
-     | 8 | 8 | eight | 5 | -5 |   |   
-     | 0 |   | zero  | 5 | -5 |   |   
-     |   |   | null  | 5 | -5 |   |   
-     |   | 0 | zero  | 5 | -5 |   |   
-     | 1 | 4 | one   | 5 | -5 |   |  0
-     | 2 | 3 | two   | 5 | -5 |   |  0
-     | 3 | 2 | three | 5 | -5 |   |  0
-     | 4 | 1 | four  | 5 | -5 |   |  0
-     | 5 | 0 | five  | 5 | -5 |   |  0
-     | 6 | 6 | six   | 5 | -5 |   |  0
-     | 7 | 7 | seven | 5 | -5 |   |  0
-     | 8 | 8 | eight | 5 | -5 |   |  0
-     | 0 |   | zero  | 5 | -5 |   |  0
-     |   |   | null  | 5 | -5 |   |  0
-     |   | 0 | zero  | 5 | -5 |   |  0
-     | 1 | 4 | one   | 5 | -5 | 1 | -1
-     | 2 | 3 | two   | 5 | -5 | 1 | -1
-     | 3 | 2 | three | 5 | -5 | 1 | -1
-     | 4 | 1 | four  | 5 | -5 | 1 | -1
-     | 5 | 0 | five  | 5 | -5 | 1 | -1
-     | 6 | 6 | six   | 5 | -5 | 1 | -1
-     | 7 | 7 | seven | 5 | -5 | 1 | -1
-     | 8 | 8 | eight | 5 | -5 | 1 | -1
-     | 0 |   | zero  | 5 | -5 | 1 | -1
-     |   |   | null  | 5 | -5 | 1 | -1
-     |   | 0 | zero  | 5 | -5 | 1 | -1
-     | 1 | 4 | one   | 5 | -5 | 2 |  2
-     | 2 | 3 | two   | 5 | -5 | 2 |  2
-     | 3 | 2 | three | 5 | -5 | 2 |  2
-     | 4 | 1 | four  | 5 | -5 | 2 |  2
-     | 5 | 0 | five  | 5 | -5 | 2 |  2
-     | 6 | 6 | six   | 5 | -5 | 2 |  2
-     | 7 | 7 | seven | 5 | -5 | 2 |  2
-     | 8 | 8 | eight | 5 | -5 | 2 |  2
-     | 0 |   | zero  | 5 | -5 | 2 |  2
-     |   |   | null  | 5 | -5 | 2 |  2
-     |   | 0 | zero  | 5 | -5 | 2 |  2
-     | 1 | 4 | one   | 5 | -5 | 3 | -3
-     | 2 | 3 | two   | 5 | -5 | 3 | -3
-     | 3 | 2 | three | 5 | -5 | 3 | -3
-     | 4 | 1 | four  | 5 | -5 | 3 | -3
-     | 5 | 0 | five  | 5 | -5 | 3 | -3
-     | 6 | 6 | six   | 5 | -5 | 3 | -3
-     | 7 | 7 | seven | 5 | -5 | 3 | -3
-     | 8 | 8 | eight | 5 | -5 | 3 | -3
-     | 0 |   | zero  | 5 | -5 | 3 | -3
-     |   |   | null  | 5 | -5 | 3 | -3
-     |   | 0 | zero  | 5 | -5 | 3 | -3
-     | 1 | 4 | one   | 5 | -5 | 2 |  4
-     | 2 | 3 | two   | 5 | -5 | 2 |  4
-     | 3 | 2 | three | 5 | -5 | 2 |  4
-     | 4 | 1 | four  | 5 | -5 | 2 |  4
-     | 5 | 0 | five  | 5 | -5 | 2 |  4
-     | 6 | 6 | six   | 5 | -5 | 2 |  4
-     | 7 | 7 | seven | 5 | -5 | 2 |  4
-     | 8 | 8 | eight | 5 | -5 | 2 |  4
-     | 0 |   | zero  | 5 | -5 | 2 |  4
-     |   |   | null  | 5 | -5 | 2 |  4
-     |   | 0 | zero  | 5 | -5 | 2 |  4
-     | 1 | 4 | one   | 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
      | 3 | 2 | three | 5 | -5 | 5 | -5
-     | 4 | 1 | four  | 5 | -5 | 5 | -5
-     | 5 | 0 | five  | 5 | -5 | 5 | -5
-     | 6 | 6 | six   | 5 | -5 | 5 | -5
-     | 7 | 7 | seven | 5 | -5 | 5 | -5
-     | 8 | 8 | eight | 5 | -5 | 5 | -5
-     | 0 |   | zero  | 5 | -5 | 5 | -5
-     |   |   | null  | 5 | -5 | 5 | -5
-     |   | 0 | zero  | 5 | -5 | 5 | -5
-     | 1 | 4 | one   | 5 | -5 | 5 | -5
-     | 2 | 3 | two   | 5 | -5 | 5 | -5
      | 3 | 2 | three | 5 | -5 | 5 | -5
-     | 4 | 1 | four  | 5 | -5 | 5 | -5
-     | 5 | 0 | five  | 5 | -5 | 5 | -5
-     | 6 | 6 | six   | 5 | -5 | 5 | -5
-     | 7 | 7 | seven | 5 | -5 | 5 | -5
-     | 8 | 8 | eight | 5 | -5 | 5 | -5
-     | 0 |   | zero  | 5 | -5 | 5 | -5
-     |   |   | null  | 5 | -5 | 5 | -5
-     |   | 0 | zero  | 5 | -5 | 5 | -5
-     | 1 | 4 | one   | 5 | -5 | 0 |   
-     | 2 | 3 | two   | 5 | -5 | 0 |   
-     | 3 | 2 | three | 5 | -5 | 0 |   
-     | 4 | 1 | four  | 5 | -5 | 0 |   
-     | 5 | 0 | five  | 5 | -5 | 0 |   
-     | 6 | 6 | six   | 5 | -5 | 0 |   
-     | 7 | 7 | seven | 5 | -5 | 0 |   
-     | 8 | 8 | eight | 5 | -5 | 0 |   
-     | 0 |   | zero  | 5 | -5 | 0 |   
-     |   |   | null  | 5 | -5 | 0 |   
-     |   | 0 | zero  | 5 | -5 | 0 |   
-     | 1 | 4 | one   | 5 | -5 |   |   
-     | 2 | 3 | two   | 5 | -5 |   |   
-     | 3 | 2 | three | 5 | -5 |   |   
-     | 4 | 1 | four  | 5 | -5 |   |   
-     | 5 | 0 | five  | 5 | -5 |   |   
-     | 6 | 6 | six   | 5 | -5 |   |   
-     | 7 | 7 | seven | 5 | -5 |   |   
-     | 8 | 8 | eight | 5 | -5 |   |   
-     | 0 |   | zero  | 5 | -5 |   |   
-     |   |   | null  | 5 | -5 |   |   
-     |   | 0 | zero  | 5 | -5 |   |   
-     | 1 | 4 | one   | 5 | -5 |   |  0
-     | 2 | 3 | two   | 5 | -5 |   |  0
-     | 3 | 2 | three | 5 | -5 |   |  0
-     | 4 | 1 | four  | 5 | -5 |   |  0
-     | 5 | 0 | five  | 5 | -5 |   |  0
-     | 6 | 6 | six   | 5 | -5 |   |  0
-     | 7 | 7 | seven | 5 | -5 |   |  0
-     | 8 | 8 | eight | 5 | -5 |   |  0
-     | 0 |   | zero  | 5 | -5 |   |  0
-     |   |   | null  | 5 | -5 |   |  0
-     |   | 0 | zero  | 5 | -5 |   |  0
-     | 1 | 4 | one   | 0 |    | 1 | -1
-     | 2 | 3 | two   | 0 |    | 1 | -1
-     | 3 | 2 | three | 0 |    | 1 | -1
-     | 4 | 1 | four  | 0 |    | 1 | -1
-     | 5 | 0 | five  | 0 |    | 1 | -1
-     | 6 | 6 | six   | 0 |    | 1 | -1
-     | 7 | 7 | seven | 0 |    | 1 | -1
-     | 8 | 8 | eight | 0 |    | 1 | -1
-     | 0 |   | zero  | 0 |    | 1 | -1
-     |   |   | null  | 0 |    | 1 | -1
-     |   | 0 | zero  | 0 |    | 1 | -1
-     | 1 | 4 | one   | 0 |    | 2 |  2
-     | 2 | 3 | two   | 0 |    | 2 |  2
-     | 3 | 2 | three | 0 |    | 2 |  2
-     | 4 | 1 | four  | 0 |    | 2 |  2
-     | 5 | 0 | five  | 0 |    | 2 |  2
-     | 6 | 6 | six   | 0 |    | 2 |  2
-     | 7 | 7 | seven | 0 |    | 2 |  2
-     | 8 | 8 | eight | 0 |    | 2 |  2
-     | 0 |   | zero  | 0 |    | 2 |  2
-     |   |   | null  | 0 |    | 2 |  2
-     |   | 0 | zero  | 0 |    | 2 |  2
-     | 1 | 4 | one   | 0 |    | 3 | -3
-     | 2 | 3 | two   | 0 |    | 3 | -3
-     | 3 | 2 | three | 0 |    | 3 | -3
-     | 4 | 1 | four  | 0 |    | 3 | -3
-     | 5 | 0 | five  | 0 |    | 3 | -3
-     | 6 | 6 | six   | 0 |    | 3 | -3
-     | 7 | 7 | seven | 0 |    | 3 | -3
-     | 8 | 8 | eight | 0 |    | 3 | -3
-     | 0 |   | zero  | 0 |    | 3 | -3
-     |   |   | null  | 0 |    | 3 | -3
-     |   | 0 | zero  | 0 |    | 3 | -3
-     | 1 | 4 | one   | 0 |    | 2 |  4
-     | 2 | 3 | two   | 0 |    | 2 |  4
-     | 3 | 2 | three | 0 |    | 2 |  4
-     | 4 | 1 | four  | 0 |    | 2 |  4
-     | 5 | 0 | five  | 0 |    | 2 |  4
-     | 6 | 6 | six   | 0 |    | 2 |  4
-     | 7 | 7 | seven | 0 |    | 2 |  4
-     | 8 | 8 | eight | 0 |    | 2 |  4
-     | 0 |   | zero  | 0 |    | 2 |  4
-     |   |   | null  | 0 |    | 2 |  4
-     |   | 0 | zero  | 0 |    | 2 |  4
-     | 1 | 4 | one   | 0 |    | 5 | -5
-     | 2 | 3 | two   | 0 |    | 5 | -5
      | 3 | 2 | three | 0 |    | 5 | -5
-     | 4 | 1 | four  | 0 |    | 5 | -5
-     | 5 | 0 | five  | 0 |    | 5 | -5
-     | 6 | 6 | six   | 0 |    | 5 | -5
-     | 7 | 7 | seven | 0 |    | 5 | -5
-     | 8 | 8 | eight | 0 |    | 5 | -5
-     | 0 |   | zero  | 0 |    | 5 | -5
-     |   |   | null  | 0 |    | 5 | -5
-     |   | 0 | zero  | 0 |    | 5 | -5
-     | 1 | 4 | one   | 0 |    | 5 | -5
-     | 2 | 3 | two   | 0 |    | 5 | -5
-     | 3 | 2 | three | 0 |    | 5 | -5
-     | 4 | 1 | four  | 0 |    | 5 | -5
-     | 5 | 0 | five  | 0 |    | 5 | -5
-     | 6 | 6 | six   | 0 |    | 5 | -5
-     | 7 | 7 | seven | 0 |    | 5 | -5
-     | 8 | 8 | eight | 0 |    | 5 | -5
-     | 0 |   | zero  | 0 |    | 5 | -5
-     |   |   | null  | 0 |    | 5 | -5
-     |   | 0 | zero  | 0 |    | 5 | -5
-     | 1 | 4 | one   | 0 |    | 0 |   
-     | 2 | 3 | two   | 0 |    | 0 |   
-     | 3 | 2 | three | 0 |    | 0 |   
-     | 4 | 1 | four  | 0 |    | 0 |   
-     | 5 | 0 | five  | 0 |    | 0 |   
-     | 6 | 6 | six   | 0 |    | 0 |   
-     | 7 | 7 | seven | 0 |    | 0 |   
-     | 8 | 8 | eight | 0 |    | 0 |   
-     | 0 |   | zero  | 0 |    | 0 |   
-     |   |   | null  | 0 |    | 0 |   
-     |   | 0 | zero  | 0 |    | 0 |   
-     | 1 | 4 | one   | 0 |    |   |   
-     | 2 | 3 | two   | 0 |    |   |   
-     | 3 | 2 | three | 0 |    |   |   
-     | 4 | 1 | four  | 0 |    |   |   
-     | 5 | 0 | five  | 0 |    |   |   
-     | 6 | 6 | six   | 0 |    |   |   
-     | 7 | 7 | seven | 0 |    |   |   
-     | 8 | 8 | eight | 0 |    |   |   
-     | 0 |   | zero  | 0 |    |   |   
-     |   |   | null  | 0 |    |   |   
-     |   | 0 | zero  | 0 |    |   |   
-     | 1 | 4 | one   | 0 |    |   |  0
-     | 2 | 3 | two   | 0 |    |   |  0
-     | 3 | 2 | three | 0 |    |   |  0
-     | 4 | 1 | four  | 0 |    |   |  0
-     | 5 | 0 | five  | 0 |    |   |  0
-     | 6 | 6 | six   | 0 |    |   |  0
-     | 7 | 7 | seven | 0 |    |   |  0
-     | 8 | 8 | eight | 0 |    |   |  0
-     | 0 |   | zero  | 0 |    |   |  0
-     |   |   | null  | 0 |    |   |  0
-     |   | 0 | zero  | 0 |    |   |  0
-     | 1 | 4 | one   |   |    | 1 | -1
-     | 2 | 3 | two   |   |    | 1 | -1
-     | 3 | 2 | three |   |    | 1 | -1
-     | 4 | 1 | four  |   |    | 1 | -1
-     | 5 | 0 | five  |   |    | 1 | -1
-     | 6 | 6 | six   |   |    | 1 | -1
-     | 7 | 7 | seven |   |    | 1 | -1
-     | 8 | 8 | eight |   |    | 1 | -1
-     | 0 |   | zero  |   |    | 1 | -1
-     |   |   | null  |   |    | 1 | -1
-     |   | 0 | zero  |   |    | 1 | -1
-     | 1 | 4 | one   |   |    | 2 |  2
-     | 2 | 3 | two   |   |    | 2 |  2
-     | 3 | 2 | three |   |    | 2 |  2
-     | 4 | 1 | four  |   |    | 2 |  2
-     | 5 | 0 | five  |   |    | 2 |  2
-     | 6 | 6 | six   |   |    | 2 |  2
-     | 7 | 7 | seven |   |    | 2 |  2
-     | 8 | 8 | eight |   |    | 2 |  2
-     | 0 |   | zero  |   |    | 2 |  2
-     |   |   | null  |   |    | 2 |  2
-     |   | 0 | zero  |   |    | 2 |  2
-     | 1 | 4 | one   |   |    | 3 | -3
-     | 2 | 3 | two   |   |    | 3 | -3
-     | 3 | 2 | three |   |    | 3 | -3
-     | 4 | 1 | four  |   |    | 3 | -3
-     | 5 | 0 | five  |   |    | 3 | -3
-     | 6 | 6 | six   |   |    | 3 | -3
-     | 7 | 7 | seven |   |    | 3 | -3
-     | 8 | 8 | eight |   |    | 3 | -3
-     | 0 |   | zero  |   |    | 3 | -3
-     |   |   | null  |   |    | 3 | -3
-     |   | 0 | zero  |   |    | 3 | -3
-     | 1 | 4 | one   |   |    | 2 |  4
-     | 2 | 3 | two   |   |    | 2 |  4
-     | 3 | 2 | three |   |    | 2 |  4
-     | 4 | 1 | four  |   |    | 2 |  4
-     | 5 | 0 | five  |   |    | 2 |  4
-     | 6 | 6 | six   |   |    | 2 |  4
-     | 7 | 7 | seven |   |    | 2 |  4
-     | 8 | 8 | eight |   |    | 2 |  4
-     | 0 |   | zero  |   |    | 2 |  4
-     |   |   | null  |   |    | 2 |  4
-     |   | 0 | zero  |   |    | 2 |  4
-     | 1 | 4 | one   |   |    | 5 | -5
-     | 2 | 3 | two   |   |    | 5 | -5
      | 3 | 2 | three |   |    | 5 | -5
-     | 4 | 1 | four  |   |    | 5 | -5
-     | 5 | 0 | five  |   |    | 5 | -5
-     | 6 | 6 | six   |   |    | 5 | -5
-     | 7 | 7 | seven |   |    | 5 | -5
-     | 8 | 8 | eight |   |    | 5 | -5
-     | 0 |   | zero  |   |    | 5 | -5
-     |   |   | null  |   |    | 5 | -5
-     |   | 0 | zero  |   |    | 5 | -5
-     | 1 | 4 | one   |   |    | 5 | -5
-     | 2 | 3 | two   |   |    | 5 | -5
-     | 3 | 2 | three |   |    | 5 | -5
-     | 4 | 1 | four  |   |    | 5 | -5
-     | 5 | 0 | five  |   |    | 5 | -5
-     | 6 | 6 | six   |   |    | 5 | -5
-     | 7 | 7 | seven |   |    | 5 | -5
-     | 8 | 8 | eight |   |    | 5 | -5
-     | 0 |   | zero  |   |    | 5 | -5
-     |   |   | null  |   |    | 5 | -5
-     |   | 0 | zero  |   |    | 5 | -5
-     | 1 | 4 | one   |   |    | 0 |   
-     | 2 | 3 | two   |   |    | 0 |   
-     | 3 | 2 | three |   |    | 0 |   
-     | 4 | 1 | four  |   |    | 0 |   
-     | 5 | 0 | five  |   |    | 0 |   
-     | 6 | 6 | six   |   |    | 0 |   
-     | 7 | 7 | seven |   |    | 0 |   
-     | 8 | 8 | eight |   |    | 0 |   
-     | 0 |   | zero  |   |    | 0 |   
-     |   |   | null  |   |    | 0 |   
-     |   | 0 | zero  |   |    | 0 |   
-     | 1 | 4 | one   |   |    |   |   
-     | 2 | 3 | two   |   |    |   |   
-     | 3 | 2 | three |   |    |   |   
-     | 4 | 1 | four  |   |    |   |   
-     | 5 | 0 | five  |   |    |   |   
-     | 6 | 6 | six   |   |    |   |   
-     | 7 | 7 | seven |   |    |   |   
-     | 8 | 8 | eight |   |    |   |   
-     | 0 |   | zero  |   |    |   |   
-     |   |   | null  |   |    |   |   
-     |   | 0 | zero  |   |    |   |   
-     | 1 | 4 | one   |   |    |   |  0
-     | 2 | 3 | two   |   |    |   |  0
-     | 3 | 2 | three |   |    |   |  0
-     | 4 | 1 | four  |   |    |   |  0
-     | 5 | 0 | five  |   |    |   |  0
-     | 6 | 6 | six   |   |    |   |  0
-     | 7 | 7 | seven |   |    |   |  0
-     | 8 | 8 | eight |   |    |   |  0
-     | 0 |   | zero  |   |    |   |  0
-     |   |   | null  |   |    |   |  0
-     |   | 0 | zero  |   |    |   |  0
-     | 1 | 4 | one   |   |  0 | 1 | -1
-     | 2 | 3 | two   |   |  0 | 1 | -1
-     | 3 | 2 | three |   |  0 | 1 | -1
-     | 4 | 1 | four  |   |  0 | 1 | -1
-     | 5 | 0 | five  |   |  0 | 1 | -1
-     | 6 | 6 | six   |   |  0 | 1 | -1
-     | 7 | 7 | seven |   |  0 | 1 | -1
-     | 8 | 8 | eight |   |  0 | 1 | -1
-     | 0 |   | zero  |   |  0 | 1 | -1
-     |   |   | null  |   |  0 | 1 | -1
-     |   | 0 | zero  |   |  0 | 1 | -1
-     | 1 | 4 | one   |   |  0 | 2 |  2
-     | 2 | 3 | two   |   |  0 | 2 |  2
-     | 3 | 2 | three |   |  0 | 2 |  2
-     | 4 | 1 | four  |   |  0 | 2 |  2
-     | 5 | 0 | five  |   |  0 | 2 |  2
-     | 6 | 6 | six   |   |  0 | 2 |  2
-     | 7 | 7 | seven |   |  0 | 2 |  2
-     | 8 | 8 | eight |   |  0 | 2 |  2
-     | 0 |   | zero  |   |  0 | 2 |  2
-     |   |   | null  |   |  0 | 2 |  2
-     |   | 0 | zero  |   |  0 | 2 |  2
-     | 1 | 4 | one   |   |  0 | 3 | -3
-     | 2 | 3 | two   |   |  0 | 3 | -3
-     | 3 | 2 | three |   |  0 | 3 | -3
-     | 4 | 1 | four  |   |  0 | 3 | -3
-     | 5 | 0 | five  |   |  0 | 3 | -3
-     | 6 | 6 | six   |   |  0 | 3 | -3
-     | 7 | 7 | seven |   |  0 | 3 | -3
-     | 8 | 8 | eight |   |  0 | 3 | -3
-     | 0 |   | zero  |   |  0 | 3 | -3
-     |   |   | null  |   |  0 | 3 | -3
-     |   | 0 | zero  |   |  0 | 3 | -3
-     | 1 | 4 | one   |   |  0 | 2 |  4
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-     | 3 | 2 | three |   |  0 | 2 |  4
-     | 4 | 1 | four  |   |  0 | 2 |  4
-     | 5 | 0 | five  |   |  0 | 2 |  4
-     | 6 | 6 | six   |   |  0 | 2 |  4
-     | 7 | 7 | seven |   |  0 | 2 |  4
-     | 8 | 8 | eight |   |  0 | 2 |  4
-     | 0 |   | zero  |   |  0 | 2 |  4
-     |   |   | null  |   |  0 | 2 |  4
-     |   | 0 | zero  |   |  0 | 2 |  4
-     | 1 | 4 | one   |   |  0 | 5 | -5
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      | 3 | 2 | three |   |  0 | 5 | -5
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      | 4 | 1 | four  |   |  0 | 5 | -5
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      | 5 | 0 | five  |   |  0 | 5 | -5
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      | 6 | 6 | six   |   |  0 | 5 | -5
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      | 7 | 7 | seven |   |  0 | 5 | -5
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      | 8 | 8 | eight |   |  0 | 5 | -5
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      | 0 |   | zero  |   |  0 | 5 | -5
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      |   |   | null  |   |  0 | 5 | -5
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      |   | 0 | zero  |   |  0 | 5 | -5
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      | 4 | 1 | four  |   |  0 | 5 | -5
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      | 6 | 6 | six   |   |  0 | 5 | -5
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      | 7 | 7 | seven |   |  0 | 5 | -5
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      | 8 | 8 | eight |   |  0 | 5 | -5
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      | 0 |   | zero  |   |  0 | 5 | -5
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      |   |   | null  |   |  0 | 5 | -5
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      |   | 0 | zero  |   |  0 | 5 | -5
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      | 4 | 1 | four  |   |  0 | 0 |   
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      | 5 | 0 | five  |   |  0 | 0 |   
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+     | 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 | 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 |   
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      | 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 |   
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      |   |   | null  |   |  0 | 0 |   
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+     |   | 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 |   
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      |   | 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 |    |   |   
+     | 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 |    |   |   
+     | 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 |    |   |   
+     | 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 |    |   |   
+     | 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 |    |   |   
+     | 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 |    |   |   
+     | 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 |    |   |   
+     | 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 |    |   |   
+     | 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 |    |   |   
+     |   |   | 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 |    |   |   
+     |   | 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
      | 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 |   |  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 |   |  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 |   |  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 |   |  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
      | 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 |   |  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 |   |  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 |   |  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 |   |  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 |   |  0
 (891 rows)