patch for different join result order on regression test for win32 - Mailing list pgsql-patches

From Andrew Dunstan
Subject patch for different join result order on regression test for win32
Date
Msg-id 409FB8CD.4040003@dunslane.net
Whole thread Raw
Responses Re: patch for different join result order on regression test for win32  (Tom Lane <tgl@sss.pgh.pa.us>)
Re: patch for different join result order on regression test for  (Andrew Dunstan <andrew@dunslane.net>)
List pgsql-patches
This resultmap patch and regression test result file allow the join
regression test to succeed under Mingw.

cheers

andrew
Index: src/test/regress/resultmap
===================================================================
RCS file: /projects/cvsroot/pgsql-server/src/test/regress/resultmap,v
retrieving revision 1.73
diff -c -r1.73 resultmap
*** src/test/regress/resultmap    2 May 2004 04:27:37 -0000    1.73
--- src/test/regress/resultmap    10 May 2004 17:09:09 -0000
***************
*** 27,32 ****
--- 27,33 ----
  horology/.*-sco=horology-solaris-1947
  int8/.*-qnx=int8-exp-three-digits
  int8/i.86-pc-mingw32=int8-exp-three-digits-win32
+ join/i.86-pc-mingw32=join-win32
  tinterval/.*-aix4=tinterval-solaris-1947
  tinterval/.*-aix5=tinterval-solaris-1947
  tinterval/alpha.*-dec-osf=tinterval-solaris-1947
--
-- JOIN
-- Test JOIN clauses
--
CREATE TABLE J1_TBL (
  i integer,
  j integer,
  t text
);
CREATE TABLE J2_TBL (
  i integer,
  k integer
);
INSERT INTO J1_TBL VALUES (1, 4, 'one');
INSERT INTO J1_TBL VALUES (2, 3, 'two');
INSERT INTO J1_TBL VALUES (3, 2, 'three');
INSERT INTO J1_TBL VALUES (4, 1, 'four');
INSERT INTO J1_TBL VALUES (5, 0, 'five');
INSERT INTO J1_TBL VALUES (6, 6, 'six');
INSERT INTO J1_TBL VALUES (7, 7, 'seven');
INSERT INTO J1_TBL VALUES (8, 8, 'eight');
INSERT INTO J1_TBL VALUES (0, NULL, 'zero');
INSERT INTO J1_TBL VALUES (NULL, NULL, 'null');
INSERT INTO J1_TBL VALUES (NULL, 0, 'zero');
INSERT INTO J2_TBL VALUES (1, -1);
INSERT INTO J2_TBL VALUES (2, 2);
INSERT INTO J2_TBL VALUES (3, -3);
INSERT INTO J2_TBL VALUES (2, 4);
INSERT INTO J2_TBL VALUES (5, -5);
INSERT INTO J2_TBL VALUES (5, -5);
INSERT INTO J2_TBL VALUES (0, NULL);
INSERT INTO J2_TBL VALUES (NULL, NULL);
INSERT INTO J2_TBL VALUES (NULL, 0);
--
-- CORRELATION NAMES
-- Make sure that table/column aliases are supported
-- before diving into more complex join syntax.
--
SELECT '' AS "xxx", *
  FROM J1_TBL AS tx;
 xxx | i | j |   t
-----+---+---+-------
     | 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
(11 rows)

SELECT '' AS "xxx", *
  FROM J1_TBL tx;
 xxx | i | j |   t
-----+---+---+-------
     | 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
(11 rows)

SELECT '' AS "xxx", *
  FROM J1_TBL AS t1 (a, b, c);
 xxx | a | b |   c
-----+---+---+-------
     | 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
(11 rows)

SELECT '' AS "xxx", *
  FROM J1_TBL t1 (a, b, c);
 xxx | a | b |   c
-----+---+---+-------
     | 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
(11 rows)

SELECT '' AS "xxx", *
  FROM J1_TBL t1 (a, b, c), J2_TBL t2 (d, e);
 xxx | a | b |   c   | d | e
-----+---+---+-------+---+----
     | 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
(99 rows)

SELECT '' AS "xxx", t1.a, t2.e
  FROM J1_TBL t1 (a, b, c), J2_TBL t2 (d, e)
  WHERE t1.a = t2.d;
 xxx | a | e
-----+---+----
     | 0 |
     | 1 | -1
     | 2 |  4
     | 2 |  2
     | 3 | -3
     | 5 | -5
     | 5 | -5
(7 rows)

--
-- CROSS JOIN
-- Qualifications are not allowed on cross joins,
-- which degenerate into a standard unqualified inner join.
--
SELECT '' AS "xxx", *
  FROM J1_TBL CROSS JOIN J2_TBL;
 xxx | i | j |   t   | i | k
-----+---+---+-------+---+----
     | 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
(99 rows)

-- ambiguous column
SELECT '' AS "xxx", i, k, t
  FROM J1_TBL CROSS JOIN J2_TBL;
ERROR:  column reference "i" is ambiguous
-- resolve previous ambiguity by specifying the table name
SELECT '' AS "xxx", t1.i, k, t
  FROM J1_TBL t1 CROSS JOIN J2_TBL t2;
 xxx | i | k  |   t
-----+---+----+-------
     | 1 | -1 | one
     | 1 |  2 | one
     | 1 | -3 | one
     | 1 |  4 | one
     | 1 | -5 | one
     | 1 | -5 | one
     | 1 |    | one
     | 1 |    | one
     | 1 |  0 | one
     | 2 | -1 | two
     | 2 |  2 | two
     | 2 | -3 | two
     | 2 |  4 | two
     | 2 | -5 | two
     | 2 | -5 | two
     | 2 |    | two
     | 2 |    | two
     | 2 |  0 | two
     | 3 | -1 | three
     | 3 |  2 | three
     | 3 | -3 | three
     | 3 |  4 | three
     | 3 | -5 | three
     | 3 | -5 | three
     | 3 |    | three
     | 3 |    | three
     | 3 |  0 | three
     | 4 | -1 | four
     | 4 |  2 | four
     | 4 | -3 | four
     | 4 |  4 | four
     | 4 | -5 | four
     | 4 | -5 | four
     | 4 |    | four
     | 4 |    | four
     | 4 |  0 | four
     | 5 | -1 | five
     | 5 |  2 | five
     | 5 | -3 | five
     | 5 |  4 | five
     | 5 | -5 | five
     | 5 | -5 | five
     | 5 |    | five
     | 5 |    | five
     | 5 |  0 | five
     | 6 | -1 | six
     | 6 |  2 | six
     | 6 | -3 | six
     | 6 |  4 | six
     | 6 | -5 | six
     | 6 | -5 | six
     | 6 |    | six
     | 6 |    | six
     | 6 |  0 | six
     | 7 | -1 | seven
     | 7 |  2 | seven
     | 7 | -3 | seven
     | 7 |  4 | seven
     | 7 | -5 | seven
     | 7 | -5 | seven
     | 7 |    | seven
     | 7 |    | seven
     | 7 |  0 | seven
     | 8 | -1 | eight
     | 8 |  2 | eight
     | 8 | -3 | eight
     | 8 |  4 | eight
     | 8 | -5 | eight
     | 8 | -5 | eight
     | 8 |    | eight
     | 8 |    | eight
     | 8 |  0 | eight
     | 0 | -1 | zero
     | 0 |  2 | zero
     | 0 | -3 | zero
     | 0 |  4 | zero
     | 0 | -5 | zero
     | 0 | -5 | zero
     | 0 |    | zero
     | 0 |    | zero
     | 0 |  0 | zero
     |   | -1 | null
     |   |  2 | null
     |   | -3 | null
     |   |  4 | null
     |   | -5 | null
     |   | -5 | null
     |   |    | null
     |   |    | null
     |   |  0 | null
     |   | -1 | zero
     |   |  2 | zero
     |   | -3 | zero
     |   |  4 | zero
     |   | -5 | zero
     |   | -5 | zero
     |   |    | zero
     |   |    | zero
     |   |  0 | zero
(99 rows)

SELECT '' AS "xxx", ii, tt, kk
  FROM (J1_TBL CROSS JOIN J2_TBL)
    AS tx (ii, jj, tt, ii2, kk);
 xxx | ii |  tt   | kk
-----+----+-------+----
     |  1 | one   | -1
     |  1 | one   |  2
     |  1 | one   | -3
     |  1 | one   |  4
     |  1 | one   | -5
     |  1 | one   | -5
     |  1 | one   |
     |  1 | one   |
     |  1 | one   |  0
     |  2 | two   | -1
     |  2 | two   |  2
     |  2 | two   | -3
     |  2 | two   |  4
     |  2 | two   | -5
     |  2 | two   | -5
     |  2 | two   |
     |  2 | two   |
     |  2 | two   |  0
     |  3 | three | -1
     |  3 | three |  2
     |  3 | three | -3
     |  3 | three |  4
     |  3 | three | -5
     |  3 | three | -5
     |  3 | three |
     |  3 | three |
     |  3 | three |  0
     |  4 | four  | -1
     |  4 | four  |  2
     |  4 | four  | -3
     |  4 | four  |  4
     |  4 | four  | -5
     |  4 | four  | -5
     |  4 | four  |
     |  4 | four  |
     |  4 | four  |  0
     |  5 | five  | -1
     |  5 | five  |  2
     |  5 | five  | -3
     |  5 | five  |  4
     |  5 | five  | -5
     |  5 | five  | -5
     |  5 | five  |
     |  5 | five  |
     |  5 | five  |  0
     |  6 | six   | -1
     |  6 | six   |  2
     |  6 | six   | -3
     |  6 | six   |  4
     |  6 | six   | -5
     |  6 | six   | -5
     |  6 | six   |
     |  6 | six   |
     |  6 | six   |  0
     |  7 | seven | -1
     |  7 | seven |  2
     |  7 | seven | -3
     |  7 | seven |  4
     |  7 | seven | -5
     |  7 | seven | -5
     |  7 | seven |
     |  7 | seven |
     |  7 | seven |  0
     |  8 | eight | -1
     |  8 | eight |  2
     |  8 | eight | -3
     |  8 | eight |  4
     |  8 | eight | -5
     |  8 | eight | -5
     |  8 | eight |
     |  8 | eight |
     |  8 | eight |  0
     |  0 | zero  | -1
     |  0 | zero  |  2
     |  0 | zero  | -3
     |  0 | zero  |  4
     |  0 | zero  | -5
     |  0 | zero  | -5
     |  0 | zero  |
     |  0 | zero  |
     |  0 | zero  |  0
     |    | null  | -1
     |    | null  |  2
     |    | null  | -3
     |    | null  |  4
     |    | null  | -5
     |    | null  | -5
     |    | null  |
     |    | null  |
     |    | null  |  0
     |    | zero  | -1
     |    | zero  |  2
     |    | zero  | -3
     |    | zero  |  4
     |    | zero  | -5
     |    | zero  | -5
     |    | zero  |
     |    | zero  |
     |    | zero  |  0
(99 rows)

SELECT '' AS "xxx", tx.ii, tx.jj, tx.kk
  FROM (J1_TBL t1 (a, b, c) CROSS JOIN J2_TBL t2 (d, e))
    AS tx (ii, jj, tt, ii2, kk);
 xxx | ii | jj | kk
-----+----+----+----
     |  1 |  4 | -1
     |  1 |  4 |  2
     |  1 |  4 | -3
     |  1 |  4 |  4
     |  1 |  4 | -5
     |  1 |  4 | -5
     |  1 |  4 |
     |  1 |  4 |
     |  1 |  4 |  0
     |  2 |  3 | -1
     |  2 |  3 |  2
     |  2 |  3 | -3
     |  2 |  3 |  4
     |  2 |  3 | -5
     |  2 |  3 | -5
     |  2 |  3 |
     |  2 |  3 |
     |  2 |  3 |  0
     |  3 |  2 | -1
     |  3 |  2 |  2
     |  3 |  2 | -3
     |  3 |  2 |  4
     |  3 |  2 | -5
     |  3 |  2 | -5
     |  3 |  2 |
     |  3 |  2 |
     |  3 |  2 |  0
     |  4 |  1 | -1
     |  4 |  1 |  2
     |  4 |  1 | -3
     |  4 |  1 |  4
     |  4 |  1 | -5
     |  4 |  1 | -5
     |  4 |  1 |
     |  4 |  1 |
     |  4 |  1 |  0
     |  5 |  0 | -1
     |  5 |  0 |  2
     |  5 |  0 | -3
     |  5 |  0 |  4
     |  5 |  0 | -5
     |  5 |  0 | -5
     |  5 |  0 |
     |  5 |  0 |
     |  5 |  0 |  0
     |  6 |  6 | -1
     |  6 |  6 |  2
     |  6 |  6 | -3
     |  6 |  6 |  4
     |  6 |  6 | -5
     |  6 |  6 | -5
     |  6 |  6 |
     |  6 |  6 |
     |  6 |  6 |  0
     |  7 |  7 | -1
     |  7 |  7 |  2
     |  7 |  7 | -3
     |  7 |  7 |  4
     |  7 |  7 | -5
     |  7 |  7 | -5
     |  7 |  7 |
     |  7 |  7 |
     |  7 |  7 |  0
     |  8 |  8 | -1
     |  8 |  8 |  2
     |  8 |  8 | -3
     |  8 |  8 |  4
     |  8 |  8 | -5
     |  8 |  8 | -5
     |  8 |  8 |
     |  8 |  8 |
     |  8 |  8 |  0
     |  0 |    | -1
     |  0 |    |  2
     |  0 |    | -3
     |  0 |    |  4
     |  0 |    | -5
     |  0 |    | -5
     |  0 |    |
     |  0 |    |
     |  0 |    |  0
     |    |    | -1
     |    |    |  2
     |    |    | -3
     |    |    |  4
     |    |    | -5
     |    |    | -5
     |    |    |
     |    |    |
     |    |    |  0
     |    |  0 | -1
     |    |  0 |  2
     |    |  0 | -3
     |    |  0 |  4
     |    |  0 | -5
     |    |  0 | -5
     |    |  0 |
     |    |  0 |
     |    |  0 |  0
(99 rows)

SELECT '' AS "xxx", *
  FROM J1_TBL CROSS JOIN J2_TBL a CROSS JOIN J2_TBL b;
 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
     | 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
     | 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   | 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
     | 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
     | 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
(891 rows)

--
--
-- Inner joins (equi-joins)
--
--
--
-- Inner joins (equi-joins) with USING clause
-- The USING syntax changes the shape of the resulting table
-- by including a column in the USING clause only once in the result.
--
-- Inner equi-join on specified column
SELECT '' AS "xxx", *
  FROM J1_TBL INNER JOIN J2_TBL USING (i);
 xxx | i | j |   t   | k
-----+---+---+-------+----
     | 0 |   | zero  |
     | 1 | 4 | one   | -1
     | 2 | 3 | two   |  4
     | 2 | 3 | two   |  2
     | 3 | 2 | three | -3
     | 5 | 0 | five  | -5
     | 5 | 0 | five  | -5
(7 rows)

-- Same as above, slightly different syntax
SELECT '' AS "xxx", *
  FROM J1_TBL JOIN J2_TBL USING (i);
 xxx | i | j |   t   | k
-----+---+---+-------+----
     | 0 |   | zero  |
     | 1 | 4 | one   | -1
     | 2 | 3 | two   |  4
     | 2 | 3 | two   |  2
     | 3 | 2 | three | -3
     | 5 | 0 | five  | -5
     | 5 | 0 | five  | -5
(7 rows)

SELECT '' AS "xxx", *
  FROM J1_TBL t1 (a, b, c) JOIN J2_TBL t2 (a, d) USING (a)
  ORDER BY a, d;
 xxx | a | b |   c   | d
-----+---+---+-------+----
     | 0 |   | zero  |
     | 1 | 4 | one   | -1
     | 2 | 3 | two   |  2
     | 2 | 3 | two   |  4
     | 3 | 2 | three | -3
     | 5 | 0 | five  | -5
     | 5 | 0 | five  | -5
(7 rows)

SELECT '' AS "xxx", *
  FROM J1_TBL t1 (a, b, c) JOIN J2_TBL t2 (a, b) USING (b)
  ORDER BY b, t1.a;
 xxx | b | a |   c   | a
-----+---+---+-------+---
     | 0 | 5 | five  |
     | 0 |   | zero  |
     | 2 | 3 | three | 2
     | 4 | 1 | one   | 2
(4 rows)

--
-- NATURAL JOIN
-- Inner equi-join on all columns with the same name
--
SELECT '' AS "xxx", *
  FROM J1_TBL NATURAL JOIN J2_TBL;
 xxx | i | j |   t   | k
-----+---+---+-------+----
     | 0 |   | zero  |
     | 1 | 4 | one   | -1
     | 2 | 3 | two   |  4
     | 2 | 3 | two   |  2
     | 3 | 2 | three | -3
     | 5 | 0 | five  | -5
     | 5 | 0 | five  | -5
(7 rows)

SELECT '' AS "xxx", *
  FROM J1_TBL t1 (a, b, c) NATURAL JOIN J2_TBL t2 (a, d);
 xxx | a | b |   c   | d
-----+---+---+-------+----
     | 0 |   | zero  |
     | 1 | 4 | one   | -1
     | 2 | 3 | two   |  4
     | 2 | 3 | two   |  2
     | 3 | 2 | three | -3
     | 5 | 0 | five  | -5
     | 5 | 0 | five  | -5
(7 rows)

SELECT '' AS "xxx", *
  FROM J1_TBL t1 (a, b, c) NATURAL JOIN J2_TBL t2 (d, a);
 xxx | a | b |  c   | d
-----+---+---+------+---
     | 0 |   | zero |
     | 2 | 3 | two  | 2
     | 4 | 1 | four | 2
(3 rows)

-- mismatch number of columns
-- currently, Postgres will fill in with underlying names
SELECT '' AS "xxx", *
  FROM J1_TBL t1 (a, b) NATURAL JOIN J2_TBL t2 (a);
 xxx | a | b |   t   | k
-----+---+---+-------+----
     | 0 |   | zero  |
     | 1 | 4 | one   | -1
     | 2 | 3 | two   |  4
     | 2 | 3 | two   |  2
     | 3 | 2 | three | -3
     | 5 | 0 | five  | -5
     | 5 | 0 | five  | -5
(7 rows)

--
-- Inner joins (equi-joins)
--
SELECT '' AS "xxx", *
  FROM J1_TBL JOIN J2_TBL ON (J1_TBL.i = J2_TBL.i);
 xxx | i | j |   t   | i | k
-----+---+---+-------+---+----
     | 0 |   | zero  | 0 |
     | 1 | 4 | one   | 1 | -1
     | 2 | 3 | two   | 2 |  4
     | 2 | 3 | two   | 2 |  2
     | 3 | 2 | three | 3 | -3
     | 5 | 0 | five  | 5 | -5
     | 5 | 0 | five  | 5 | -5
(7 rows)

SELECT '' AS "xxx", *
  FROM J1_TBL JOIN J2_TBL ON (J1_TBL.i = J2_TBL.k);
 xxx | i | j |  t   | i | k
-----+---+---+------+---+---
     | 0 |   | zero |   | 0
     | 2 | 3 | two  | 2 | 2
     | 4 | 1 | four | 2 | 4
(3 rows)

--
-- Non-equi-joins
--
SELECT '' AS "xxx", *
  FROM J1_TBL JOIN J2_TBL ON (J1_TBL.i <= J2_TBL.k);
 xxx | i | j |   t   | i | k
-----+---+---+-------+---+---
     | 1 | 4 | one   | 2 | 2
     | 1 | 4 | one   | 2 | 4
     | 2 | 3 | two   | 2 | 2
     | 2 | 3 | two   | 2 | 4
     | 3 | 2 | three | 2 | 4
     | 4 | 1 | four  | 2 | 4
     | 0 |   | zero  | 2 | 2
     | 0 |   | zero  | 2 | 4
     | 0 |   | zero  |   | 0
(9 rows)

--
-- Outer joins
-- Note that OUTER is a noise word
--
SELECT '' AS "xxx", *
  FROM J1_TBL LEFT OUTER JOIN J2_TBL USING (i)
  ORDER BY i;
 xxx | i | j |   t   | k
-----+---+---+-------+----
     | 0 |   | zero  |
     | 1 | 4 | one   | -1
     | 2 | 3 | two   |  4
     | 2 | 3 | two   |  2
     | 3 | 2 | three | -3
     | 4 | 1 | four  |
     | 5 | 0 | five  | -5
     | 5 | 0 | five  | -5
     | 6 | 6 | six   |
     | 7 | 7 | seven |
     | 8 | 8 | eight |
     |   | 0 | zero  |
     |   |   | null  |
(13 rows)

SELECT '' AS "xxx", *
  FROM J1_TBL LEFT JOIN J2_TBL USING (i)
  ORDER BY i;
 xxx | i | j |   t   | k
-----+---+---+-------+----
     | 0 |   | zero  |
     | 1 | 4 | one   | -1
     | 2 | 3 | two   |  4
     | 2 | 3 | two   |  2
     | 3 | 2 | three | -3
     | 4 | 1 | four  |
     | 5 | 0 | five  | -5
     | 5 | 0 | five  | -5
     | 6 | 6 | six   |
     | 7 | 7 | seven |
     | 8 | 8 | eight |
     |   | 0 | zero  |
     |   |   | null  |
(13 rows)

SELECT '' AS "xxx", *
  FROM J1_TBL RIGHT OUTER JOIN J2_TBL USING (i);
 xxx | i | j |   t   | k
-----+---+---+-------+----
     | 0 |   | zero  |
     | 1 | 4 | one   | -1
     | 2 | 3 | two   |  4
     | 2 | 3 | two   |  2
     | 3 | 2 | three | -3
     | 5 | 0 | five  | -5
     | 5 | 0 | five  | -5
     |   |   |       |  0
     |   |   |       |
(9 rows)

SELECT '' AS "xxx", *
  FROM J1_TBL RIGHT JOIN J2_TBL USING (i);
 xxx | i | j |   t   | k
-----+---+---+-------+----
     | 0 |   | zero  |
     | 1 | 4 | one   | -1
     | 2 | 3 | two   |  4
     | 2 | 3 | two   |  2
     | 3 | 2 | three | -3
     | 5 | 0 | five  | -5
     | 5 | 0 | five  | -5
     |   |   |       |  0
     |   |   |       |
(9 rows)

SELECT '' AS "xxx", *
  FROM J1_TBL FULL OUTER JOIN J2_TBL USING (i)
  ORDER BY i, t;
 xxx | i | j |   t   | k
-----+---+---+-------+----
     | 0 |   | zero  |
     | 1 | 4 | one   | -1
     | 2 | 3 | two   |  2
     | 2 | 3 | two   |  4
     | 3 | 2 | three | -3
     | 4 | 1 | four  |
     | 5 | 0 | five  | -5
     | 5 | 0 | five  | -5
     | 6 | 6 | six   |
     | 7 | 7 | seven |
     | 8 | 8 | eight |
     |   |   | null  |
     |   | 0 | zero  |
     |   |   |       |
     |   |   |       |  0
(15 rows)

SELECT '' AS "xxx", *
  FROM J1_TBL FULL JOIN J2_TBL USING (i)
  ORDER BY i, t;
 xxx | i | j |   t   | k
-----+---+---+-------+----
     | 0 |   | zero  |
     | 1 | 4 | one   | -1
     | 2 | 3 | two   |  2
     | 2 | 3 | two   |  4
     | 3 | 2 | three | -3
     | 4 | 1 | four  |
     | 5 | 0 | five  | -5
     | 5 | 0 | five  | -5
     | 6 | 6 | six   |
     | 7 | 7 | seven |
     | 8 | 8 | eight |
     |   |   | null  |
     |   | 0 | zero  |
     |   |   |       |
     |   |   |       |  0
(15 rows)

SELECT '' AS "xxx", *
  FROM J1_TBL LEFT JOIN J2_TBL USING (i) WHERE (k = 1);
 xxx | i | j | t | k
-----+---+---+---+---
(0 rows)

SELECT '' AS "xxx", *
  FROM J1_TBL LEFT JOIN J2_TBL USING (i) WHERE (i = 1);
 xxx | i | j |  t  | k
-----+---+---+-----+----
     | 1 | 4 | one | -1
(1 row)

--
-- More complicated constructs
--
-- UNION JOIN isn't implemented yet
SELECT '' AS "xxx", *
  FROM J1_TBL UNION JOIN J2_TBL;
ERROR:  UNION JOIN is not implemented
--
-- Multiway full join
--
CREATE TABLE t1 (name TEXT, n INTEGER);
CREATE TABLE t2 (name TEXT, n INTEGER);
CREATE TABLE t3 (name TEXT, n INTEGER);
INSERT INTO t1 VALUES ( 'aa', 11 );
INSERT INTO t2 VALUES ( 'aa', 12 );
INSERT INTO t2 VALUES ( 'bb', 22 );
INSERT INTO t2 VALUES ( 'dd', 42 );
INSERT INTO t3 VALUES ( 'aa', 13 );
INSERT INTO t3 VALUES ( 'bb', 23 );
INSERT INTO t3 VALUES ( 'cc', 33 );
SELECT * FROM t1 FULL JOIN t2 USING (name) FULL JOIN t3 USING (name);
 name | n  | n  | n
------+----+----+----
 aa   | 11 | 12 | 13
 bb   |    | 22 | 23
 cc   |    |    | 33
 dd   |    | 42 |
(4 rows)

--
-- Test interactions of join syntax and subqueries
--
-- Basic cases (we expect planner to pull up the subquery here)
SELECT * FROM
(SELECT * FROM t2) as s2
INNER JOIN
(SELECT * FROM t3) s3
USING (name);
 name | n  | n
------+----+----
 aa   | 12 | 13
 bb   | 22 | 23
(2 rows)

SELECT * FROM
(SELECT * FROM t2) as s2
LEFT JOIN
(SELECT * FROM t3) s3
USING (name);
 name | n  | n
------+----+----
 aa   | 12 | 13
 bb   | 22 | 23
 dd   | 42 |
(3 rows)

SELECT * FROM
(SELECT * FROM t2) as s2
FULL JOIN
(SELECT * FROM t3) s3
USING (name);
 name | n  | n
------+----+----
 aa   | 12 | 13
 bb   | 22 | 23
 cc   |    | 33
 dd   | 42 |
(4 rows)

-- Cases with non-nullable expressions in subquery results;
-- make sure these go to null as expected
SELECT * FROM
(SELECT name, n as s2_n, 2 as s2_2 FROM t2) as s2
NATURAL INNER JOIN
(SELECT name, n as s3_n, 3 as s3_2 FROM t3) s3;
 name | s2_n | s2_2 | s3_n | s3_2
------+------+------+------+------
 aa   |   12 |    2 |   13 |    3
 bb   |   22 |    2 |   23 |    3
(2 rows)

SELECT * FROM
(SELECT name, n as s2_n, 2 as s2_2 FROM t2) as s2
NATURAL LEFT JOIN
(SELECT name, n as s3_n, 3 as s3_2 FROM t3) s3;
 name | s2_n | s2_2 | s3_n | s3_2
------+------+------+------+------
 aa   |   12 |    2 |   13 |    3
 bb   |   22 |    2 |   23 |    3
 dd   |   42 |    2 |      |
(3 rows)

SELECT * FROM
(SELECT name, n as s2_n, 2 as s2_2 FROM t2) as s2
NATURAL FULL JOIN
(SELECT name, n as s3_n, 3 as s3_2 FROM t3) s3;
 name | s2_n | s2_2 | s3_n | s3_2
------+------+------+------+------
 aa   |   12 |    2 |   13 |    3
 bb   |   22 |    2 |   23 |    3
 cc   |      |      |   33 |    3
 dd   |   42 |    2 |      |
(4 rows)

SELECT * FROM
(SELECT name, n as s1_n, 1 as s1_1 FROM t1) as s1
NATURAL INNER JOIN
(SELECT name, n as s2_n, 2 as s2_2 FROM t2) as s2
NATURAL INNER JOIN
(SELECT name, n as s3_n, 3 as s3_2 FROM t3) s3;
 name | s1_n | s1_1 | s2_n | s2_2 | s3_n | s3_2
------+------+------+------+------+------+------
 aa   |   11 |    1 |   12 |    2 |   13 |    3
(1 row)

SELECT * FROM
(SELECT name, n as s1_n, 1 as s1_1 FROM t1) as s1
NATURAL FULL JOIN
(SELECT name, n as s2_n, 2 as s2_2 FROM t2) as s2
NATURAL FULL JOIN
(SELECT name, n as s3_n, 3 as s3_2 FROM t3) s3;
 name | s1_n | s1_1 | s2_n | s2_2 | s3_n | s3_2
------+------+------+------+------+------+------
 aa   |   11 |    1 |   12 |    2 |   13 |    3
 bb   |      |      |   22 |    2 |   23 |    3
 cc   |      |      |      |      |   33 |    3
 dd   |      |      |   42 |    2 |      |
(4 rows)

SELECT * FROM
(SELECT name, n as s1_n FROM t1) as s1
NATURAL FULL JOIN
  (SELECT * FROM
    (SELECT name, n as s2_n FROM t2) as s2
    NATURAL FULL JOIN
    (SELECT name, n as s3_n FROM t3) as s3
  ) ss2;
 name | s1_n | s2_n | s3_n
------+------+------+------
 aa   |   11 |   12 |   13
 bb   |      |   22 |   23
 cc   |      |      |   33
 dd   |      |   42 |
(4 rows)

SELECT * FROM
(SELECT name, n as s1_n FROM t1) as s1
NATURAL FULL JOIN
  (SELECT * FROM
    (SELECT name, n as s2_n, 2 as s2_2 FROM t2) as s2
    NATURAL FULL JOIN
    (SELECT name, n as s3_n FROM t3) as s3
  ) ss2;
 name | s1_n | s2_n | s2_2 | s3_n
------+------+------+------+------
 aa   |   11 |   12 |    2 |   13
 bb   |      |   22 |    2 |   23
 cc   |      |      |      |   33
 dd   |      |   42 |    2 |
(4 rows)

-- Test for propagation of nullability constraints into sub-joins
create temp table x (x1 int, x2 int);
insert into x values (1,11);
insert into x values (2,22);
insert into x values (3,null);
insert into x values (4,44);
insert into x values (5,null);
create temp table y (y1 int, y2 int);
insert into y values (1,111);
insert into y values (2,222);
insert into y values (3,333);
insert into y values (4,null);
select * from x;
 x1 | x2
----+----
  1 | 11
  2 | 22
  3 |
  4 | 44
  5 |
(5 rows)

select * from y;
 y1 | y2
----+-----
  1 | 111
  2 | 222
  3 | 333
  4 |
(4 rows)

select * from x left join y on (x1 = y1 and x2 is not null);
 x1 | x2 | y1 | y2
----+----+----+-----
  1 | 11 |  1 | 111
  2 | 22 |  2 | 222
  3 |    |    |
  4 | 44 |  4 |
  5 |    |    |
(5 rows)

select * from x left join y on (x1 = y1 and y2 is not null);
 x1 | x2 | y1 | y2
----+----+----+-----
  1 | 11 |  1 | 111
  2 | 22 |  2 | 222
  3 |    |  3 | 333
  4 | 44 |    |
  5 |    |    |
(5 rows)

select * from (x left join y on (x1 = y1)) left join x xx(xx1,xx2)
on (x1 = xx1);
 x1 | x2 | y1 | y2  | xx1 | xx2
----+----+----+-----+-----+-----
  1 | 11 |  1 | 111 |   1 |  11
  2 | 22 |  2 | 222 |   2 |  22
  3 |    |  3 | 333 |   3 |
  4 | 44 |  4 |     |   4 |  44
  5 |    |    |     |   5 |
(5 rows)

select * from (x left join y on (x1 = y1)) left join x xx(xx1,xx2)
on (x1 = xx1 and x2 is not null);
 x1 | x2 | y1 | y2  | xx1 | xx2
----+----+----+-----+-----+-----
  1 | 11 |  1 | 111 |   1 |  11
  2 | 22 |  2 | 222 |   2 |  22
  3 |    |  3 | 333 |     |
  4 | 44 |  4 |     |   4 |  44
  5 |    |    |     |     |
(5 rows)

select * from (x left join y on (x1 = y1)) left join x xx(xx1,xx2)
on (x1 = xx1 and y2 is not null);
 x1 | x2 | y1 | y2  | xx1 | xx2
----+----+----+-----+-----+-----
  1 | 11 |  1 | 111 |   1 |  11
  2 | 22 |  2 | 222 |   2 |  22
  3 |    |  3 | 333 |   3 |
  4 | 44 |  4 |     |     |
  5 |    |    |     |     |
(5 rows)

select * from (x left join y on (x1 = y1)) left join x xx(xx1,xx2)
on (x1 = xx1 and xx2 is not null);
 x1 | x2 | y1 | y2  | xx1 | xx2
----+----+----+-----+-----+-----
  1 | 11 |  1 | 111 |   1 |  11
  2 | 22 |  2 | 222 |   2 |  22
  3 |    |  3 | 333 |     |
  4 | 44 |  4 |     |   4 |  44
  5 |    |    |     |     |
(5 rows)

-- these should NOT give the same answers as above
select * from (x left join y on (x1 = y1)) left join x xx(xx1,xx2)
on (x1 = xx1) where (x2 is not null);
 x1 | x2 | y1 | y2  | xx1 | xx2
----+----+----+-----+-----+-----
  1 | 11 |  1 | 111 |   1 |  11
  2 | 22 |  2 | 222 |   2 |  22
  4 | 44 |  4 |     |   4 |  44
(3 rows)

select * from (x left join y on (x1 = y1)) left join x xx(xx1,xx2)
on (x1 = xx1) where (y2 is not null);
 x1 | x2 | y1 | y2  | xx1 | xx2
----+----+----+-----+-----+-----
  1 | 11 |  1 | 111 |   1 |  11
  2 | 22 |  2 | 222 |   2 |  22
  3 |    |  3 | 333 |   3 |
(3 rows)

select * from (x left join y on (x1 = y1)) left join x xx(xx1,xx2)
on (x1 = xx1) where (xx2 is not null);
 x1 | x2 | y1 | y2  | xx1 | xx2
----+----+----+-----+-----+-----
  1 | 11 |  1 | 111 |   1 |  11
  2 | 22 |  2 | 222 |   2 |  22
  4 | 44 |  4 |     |   4 |  44
(3 rows)

--
-- regression test: check for bug with propagation of implied equality
-- to outside an IN
--
select count(*) from tenk1 a where unique1 in
  (select unique1 from tenk1 b join tenk1 c using (unique1)
   where b.unique2 = 42);
 count
-------
     1
(1 row)

--
-- Clean up
--
DROP TABLE t1;
DROP TABLE t2;
DROP TABLE t3;
DROP TABLE J1_TBL;
DROP TABLE J2_TBL;

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