Analysis of zz-www.sudokuoftheday.co.uk-20060830-absurd-base.sdk

Contents

Sudoku from http://www.sudokuoftheday.co.uk/cgi-bin/sudoku1280.cgi?ACTION=archive2&USER=&MONTH=Aug&YEAR=2006

level: medium

Sudoku from http://www.sudokuoftheday.co.uk/cgi-bin/sudoku1280.cgi?ACTION=archive2&USER=&MONTH=Aug&YEAR=2006

position: ...9...2...9.....5..47.3..8.95.6.4..6...975..3.......685......3....25.8.9.....7.. initial

Autosolve

position: ...9...2...9.....5..47.39.8.95.6.4..6...975..3..5..89685..792.34...25.899...3.75. autosolve
Autosolve

Pair Reduction Variants

Pair Reduction Analysis

Pair Reduction Analysis

The following important HDP chains were detected:

* DIS # A1: 1,7 => CTR => A1: 5
* DIS # H7: 4 => CTR => H7: 1,6
* DIS # B5: 1,2 => CTR => B5: 4,8
* DIS # C5: 1,2 => CTR => C5: 8
* DIS # D4: 1,2 => CTR => D4: 3,8
* DIS # F4: 1,2 => CTR => F4: 8
* DIS # A3: 5 => CTR => A3: 1,2
* DIS # H4: 1,3 => CTR => H4: 7
* DIS # I4: 7 => CTR => I4: 1,2
* DIS # B5: 1,2 => CTR => B5: 4,8
* DIS # C5: 1,2 => CTR => C5: 8
* DIS # D7: 1,6 => CTR => D7: 4
* DIS # D7: 1,6 => CTR => D7: 4
* DIS # D9: 1,6 => CTR => D9: 4,8
* DIS # H7: 4 => CTR => H7: 1,6
* DIS # H7: 6 => CTR => H7: 1,4
* DIS # D9: 1,4 => CTR => D9: 6,8
* CNT  17 HDP CHAINS /  65 HYP OPENED

See Appendix: Full HDP Chains for full list of HDP chains.

Pair Reduction

Pair Reduction

The following important HDP chains were detected:

* DIS # A1: 1,7 => CTR => A1: 5
* DIS A1: 5 # B3: 2 => CTR => B3: 1,6
* PRF A1: 5 + B3: 1,6 # E1: 8 => SOL
* STA A1: 5 + B3: 1,6 + E1: 8
* CNT   3 HDP CHAINS /   9 HYP OPENED

See Appendix: Full HDP Chains for full list of HDP chains.

Details

Positions

...9...2...9.....5..47.3..8.95.6.4..6...975..3.......685......3....25.8.9.....7.. initial
...9...2...9.....5..47.39.8.95.6.4..6...975..3..5..89685..792.34...25.899...3.75. autosolve
563984127789612345214753968195368472648297531372541896856479213437125689921836754 solved

Classification

level: medium

Pairing Analysis

--------------------------------------------------
* PAIRS (15)
A2: 1,7
E3: 1,5
I1: 4,7
H2: 4,7
H3: 1,6
A4: 1,2
E6: 1,4
H5: 1,3
I5: 1,2
C7: 1,6
B8: 3,7
C8: 3,7
D8: 1,6
G8: 1,6
I9: 1,4

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
D8,G8: 1.. / D8 = 1  => 17 pairs (_) / G8 = 1  =>  0 pairs (X)
A3,B3: 2.. / A3 = 2  => 15 pairs (_) / B3 = 2  => 23 pairs (_)
D2,F2: 2.. / D2 = 2  => 15 pairs (_) / F2 = 2  => 15 pairs (_)
I4,I5: 2.. / I4 = 2  => 15 pairs (_) / I5 = 2  => 16 pairs (_)
B9,C9: 2.. / B9 = 2  => 13 pairs (_) / C9 = 2  => 18 pairs (_)
A3,A4: 2.. / A3 = 2  => 15 pairs (_) / A4 = 2  => 23 pairs (_)
G1,G2: 3.. / G1 = 3  => 14 pairs (_) / G2 = 3  => 16 pairs (_)
D4,D5: 3.. / D4 = 3  => 15 pairs (_) / D5 = 3  =>  0 pairs (X)
H4,H5: 3.. / H4 = 3  =>  0 pairs (X) / H5 = 3  => 15 pairs (_)
B8,C8: 3.. / B8 = 3  => 16 pairs (_) / C8 = 3  => 13 pairs (_)
B2,G2: 3.. / B2 = 3  => 14 pairs (_) / G2 = 3  => 16 pairs (_)
D4,H4: 3.. / D4 = 3  => 15 pairs (_) / H4 = 3  =>  0 pairs (X)
D5,H5: 3.. / D5 = 3  =>  0 pairs (X) / H5 = 3  => 15 pairs (_)
C1,C8: 3.. / C1 = 3  => 16 pairs (_) / C8 = 3  => 13 pairs (_)
I1,H2: 4.. / I1 = 4  =>  0 pairs (X) / H2 = 4  => 16 pairs (_)
B5,B6: 4.. / B5 = 4  => 15 pairs (_) / B6 = 4  =>  0 pairs (X)
H7,I9: 4.. / H7 = 4  =>  0 pairs (X) / I9 = 4  => 16 pairs (_)
B5,D5: 4.. / B5 = 4  => 15 pairs (_) / D5 = 4  =>  0 pairs (X)
D7,H7: 4.. / D7 = 4  => 16 pairs (_) / H7 = 4  =>  0 pairs (X)
H2,H7: 4.. / H2 = 4  => 16 pairs (_) / H7 = 4  =>  0 pairs (X)
I1,I9: 4.. / I1 = 4  =>  0 pairs (X) / I9 = 4  => 16 pairs (_)
A1,A3: 5.. / A1 = 5  => 15 pairs (_) / A3 = 5  =>  0 pairs (X)
E1,E3: 5.. / E1 = 5  =>  0 pairs (X) / E3 = 5  => 15 pairs (_)
A1,E1: 5.. / A1 = 5  => 15 pairs (_) / E1 = 5  =>  0 pairs (X)
A3,E3: 5.. / A3 = 5  =>  0 pairs (X) / E3 = 5  => 15 pairs (_)
H7,G8: 6.. / H7 = 6  =>  0 pairs (X) / G8 = 6  => 17 pairs (_)
B3,H3: 6.. / B3 = 6  =>  0 pairs (X) / H3 = 6  => 17 pairs (_)
D8,G8: 6.. / D8 = 6  =>  0 pairs (X) / G8 = 6  => 17 pairs (_)
H3,H7: 6.. / H3 = 6  => 17 pairs (_) / H7 = 6  =>  0 pairs (X)
A1,A2: 7.. / A1 = 7  =>  0 pairs (X) / A2 = 7  => 16 pairs (_)
I1,H2: 7.. / I1 = 7  => 16 pairs (_) / H2 = 7  =>  0 pairs (X)
B6,C6: 7.. / B6 = 7  => 16 pairs (_) / C6 = 7  => 13 pairs (_)
H4,I4: 7.. / H4 = 7  => 16 pairs (_) / I4 = 7  =>  0 pairs (X)
B8,C8: 7.. / B8 = 7  => 13 pairs (_) / C8 = 7  => 16 pairs (_)
A1,I1: 7.. / A1 = 7  =>  0 pairs (X) / I1 = 7  => 16 pairs (_)
A2,H2: 7.. / A2 = 7  => 16 pairs (_) / H2 = 7  =>  0 pairs (X)
B6,B8: 7.. / B6 = 7  => 16 pairs (_) / B8 = 7  => 13 pairs (_)
C6,C8: 7.. / C6 = 7  => 13 pairs (_) / C8 = 7  => 16 pairs (_)
H2,H4: 7.. / H2 = 7  =>  0 pairs (X) / H4 = 7  => 16 pairs (_)
I1,I4: 7.. / I1 = 7  => 16 pairs (_) / I4 = 7  =>  0 pairs (X)
E1,E2: 8.. / E1 = 8  => 17 pairs (_) / E2 = 8  => 15 pairs (_)
B5,C5: 8.. / B5 = 8  =>  0 pairs (X) / C5 = 8  => 15 pairs (_)
D4,F4: 8.. / D4 = 8  =>  0 pairs (X) / F4 = 8  => 15 pairs (_)
D9,F9: 8.. / D9 = 8  => 15 pairs (_) / F9 = 8  =>  0 pairs (X)
B2,E2: 8.. / B2 = 8  => 17 pairs (_) / E2 = 8  => 15 pairs (_)
C1,C5: 8.. / C1 = 8  =>  0 pairs (X) / C5 = 8  => 15 pairs (_)
D4,D9: 8.. / D4 = 8  =>  0 pairs (X) / D9 = 8  => 15 pairs (_)
F4,F9: 8.. / F4 = 8  => 15 pairs (_) / F9 = 8  =>  0 pairs (X)
* DURATION: 0:01:05.282339  START: 02:12:36.969579  END: 02:13:42.251918 2019-05-01
* CP COUNT: (48)
* CLUE FOUND

--------------------------------------------------
* PREPARE PR GRAPH
* PAIR REDUCTION ..
* LEVEL 0 PASS 1 ROUND 1 (AUTO SOLVE) (A2,A4,B8,C7,C8,D8,E3,E6,G8,H2,H3,H5,I1,I5,I9)
* ...9...2...9.....5..47.39.8.95.6.4..6...975..3..5..89685..792.34...25.899...3.75.
* PAIR A2: 1,7 BLK 1
A1: 1,7,5                                # reduction candidate for 1,7
A1: 1,7 => CTR
* .8.95..2...928...5524713968295.614.76483975123..5428968516792434..12568996243875.
A1: 5                                    # 15 pairs
* PAIR E3: 1,5 BLK 2
E1: 1,5,4,8                              # reduction candidate for 1,5
E1: 1,5                                  # 17 pairs
E1: 4,8                                  # 16 pairs
* PAIR E3: 1,5 ROW 3
A3: 1,5,2                                # reduction candidate for 1,5
A3: 1,5                                  # 23 pairs
A3: 2                                    # 15 pairs
* PAIR H3: 1,6 BLK 3
G1: 1,6,3                                # reduction candidate for 1,6
G1: 1,6                                  # 16 pairs
G2: 1,6,3                                # reduction candidate for 1,6
G2: 1,6                                  # 14 pairs
* PAIR H3: 1,6 ROW 3
B3: 1,6,2                                # reduction candidate for 1,6
B3: 2                                    # 23 pairs
B3: 1,6                                  # 15 pairs
* PAIR H3: 1,6 COL H
H7: 1,6,4                                # reduction candidate for 1,6
H7: 4 => CTR
* 7..95..241.9.8.375524713968295.6.4.76.8.975.23.754289685167924347312568996..3.751
H7: 1,6                                  # 16 pairs
* PAIR A4: 1,2 BLK 4
B5: 1,2,4,8                              # reduction candidate for 1,2
B5: 1,2 => CTR
* ...9...24..924..75..4753968.95368417618497532347512896851679243473125689962834751
B5: 4,8                                  # 16 pairs
C5: 1,2,8                                # reduction candidate for 1,2
C5: 1,2 => CTR
* ..89...2...9.8...5..47.39.8.95.6.4..68.49753.34751289685..79243473.256899...34751
C5: 8                                    # 15 pairs
B6: 1,2,4,7                              # reduction candidate for 1,2
B6: 1,2                                  # 18 pairs
C6: 1,2,7                                # reduction candidate for 1,2
C6: 1,2                                  # 16 pairs
* PAIR A4: 1,2 ROW 4
D4: 1,2,3,8                              # reduction candidate for 1,2
D4: 1,2 => CTR
* 7..95..241.9.8..755247139682951684376..3975123..5..89685..792.34...25.899..83.751
D4: 3,8                                  # 16 pairs
F4: 1,2,8                                # reduction candidate for 1,2
F4: 1,2 => CTR
* 7..95..241.9284.75524713968295861437648397512317542896851679243473125689962438751
F4: 8                                    # 15 pairs
I4: 1,2,7                                # reduction candidate for 1,2
I4: 1,2                                  # 16 pairs
* PAIR A4: 1,2 COL A
A3: 1,2,5                                # reduction candidate for 1,2
A3: 5 => CTR
* .8.95..2...928...5524713968295.614.76483975123..5428968516792434..12568996243875.
A3: 1,2                                  # 15 pairs
* PAIR E6: 1,4 BLK 5
D5: 1,4,2,3                              # reduction candidate for 1,4
D5: 1,4                                  # 21 pairs
F6: 1,4,2                                # reduction candidate for 1,4
F6: 1,4                                  # 15 pairs
* PAIR E6: 1,4 ROW 6
B6: 1,4,2,7                              # reduction candidate for 1,4
B6: 2,7                                  # 16 pairs
B6: 1,4                                  # 15 pairs
* PAIR E6: 1,4 COL E
E1: 1,4,5,8                              # reduction candidate for 1,4
E1: 1,4                                  # 15 pairs
E2: 1,4,8                                # reduction candidate for 1,4
E2: 1,4                                  # 17 pairs
* PAIR H5: 1,3 BLK 6
H4: 1,3,7                                # reduction candidate for 1,3
H4: 1,3 => CTR
* 7..95..241.9.8.375524713968295.6.4.76...975.23..5428968516792434..12568996..3.751
H4: 7                                    # 16 pairs
* PAIR H5: 1,3 ROW 5
D5: 1,3,2,4                              # reduction candidate for 1,3
D5: 2,4                                  # 17 pairs
D5: 1,3                                  # 16 pairs
* PAIR I5: 1,2 BLK 6
I4: 1,2,7                                # reduction candidate for 1,2
I4: 7 => CTR
* 7..95..241.9.8..75524713968295.6.4.76...975.23..5428968516792434..125689962.3.751
I4: 1,2                                  # 16 pairs
* PAIR I5: 1,2 ROW 5
B5: 1,2,4,8                              # reduction candidate for 1,2
B5: 1,2 => CTR
* ...9...24..924..75..4753968.95368417618497532347512896851679243473125689962834751
B5: 4,8                                  # 16 pairs
C5: 1,2,8                                # reduction candidate for 1,2
C5: 1,2 => CTR
* ..89...2...9.8...5..47.39.8.95.6.4..68.49753.34751289685..79243473.256899...34751
C5: 8                                    # 15 pairs
D5: 1,2,3,4                              # reduction candidate for 1,2
D5: 1,2                                  # 16 pairs
* PAIR C7: 1,6 BLK 7
B9: 1,6,2                                # reduction candidate for 1,6
B9: 1,6                                  # 18 pairs
C9: 1,6,2                                # reduction candidate for 1,6
C9: 1,6                                  # 13 pairs
* PAIR C7: 1,6 ROW 7
D7: 1,6,4                                # reduction candidate for 1,6
D7: 1,6 => CTR
* 7..95..241.9.8.375524713968295.6.4.76.8.975.23.754289685167924347312568996..3.751
D7: 4                                    # 16 pairs
H7: 1,6,4                                # reduction candidate for 1,6
H7: 1,6                                  # 16 pairs
* PAIR C7: 1,6 COL C
C1: 1,6,3,8                              # reduction candidate for 1,6
C1: 3,8                                  # 17 pairs
C1: 1,6                                  # 17 pairs
* PAIR D8: 1,6 BLK 8
D7: 1,6,4                                # reduction candidate for 1,6
D7: 1,6 => CTR
* 7..95..241.9.8.375524713968295.6.4.76.8.975.23.754289685167924347312568996..3.751
D7: 4                                    # 16 pairs
D9: 1,6,4,8                              # reduction candidate for 1,6
D9: 1,6 => CTR
* ...9...2...9.....5..47.39.8.9586.4376..3975123..5..89685..792.34...25.899...3875.
D9: 4,8                                  # 16 pairs
F9: 1,6,4,8                              # reduction candidate for 1,6
F9: 1,6                                  # 16 pairs
* PAIR D8: 1,6 COL D
D2: 1,6,2,4                              # reduction candidate for 1,6
D2: 2,4                                  # 16 pairs
D2: 1,6                                  # 15 pairs
* PAIR G8: 1,6 BLK 9
H7: 1,6,4                                # reduction candidate for 1,6
H7: 4 => CTR
* 7..95..241.9.8.375524713968295.6.4.76.8.975.23.754289685167924347312568996..3.751
H7: 1,6                                  # 16 pairs
* PAIR G8: 1,6 COL G
G1: 1,6,3                                # reduction candidate for 1,6
G1: 1,6                                  # 16 pairs
G2: 1,6,3                                # reduction candidate for 1,6
G2: 1,6                                  # 14 pairs
* PAIR I9: 1,4 BLK 9
H7: 1,4,6                                # reduction candidate for 1,4
H7: 6 => CTR
* ..39..6277.9..63452647539181953684726482975313725148968514792634..625189926831754
H7: 1,4                                  # 17 pairs
* PAIR I9: 1,4 ROW 9
D9: 1,4,6,8                              # reduction candidate for 1,4
D9: 1,4 => CTR
* 7..95..241.9284.75524713968295861437648397512317542896851679243473125689962438751
D9: 6,8                                  # 16 pairs
F9: 1,4,6,8                              # reduction candidate for 1,4
F9: 1,4                                  # 21 pairs
* INCONCLUSIVE
* SAVE PR GRAPH zz-www.sudokuoftheday.co.uk-20060830-absurd-base-pr-000.dot
* REASONING
* DIS # A1: 1,7 => CTR => A1: 5
* DIS # H7: 4 => CTR => H7: 1,6
* DIS # B5: 1,2 => CTR => B5: 4,8
* DIS # C5: 1,2 => CTR => C5: 8
* DIS # D4: 1,2 => CTR => D4: 3,8
* DIS # F4: 1,2 => CTR => F4: 8
* DIS # A3: 5 => CTR => A3: 1,2
* DIS # H4: 1,3 => CTR => H4: 7
* DIS # I4: 7 => CTR => I4: 1,2
* DIS # B5: 1,2 => CTR => B5: 4,8
* DIS # C5: 1,2 => CTR => C5: 8
* DIS # D7: 1,6 => CTR => D7: 4
* DIS # D7: 1,6 => CTR => D7: 4
* DIS # D9: 1,6 => CTR => D9: 4,8
* DIS # H7: 4 => CTR => H7: 1,6
* DIS # H7: 6 => CTR => H7: 1,4
* DIS # D9: 1,4 => CTR => D9: 6,8
* CNT  17 HDP CHAINS /  65 HYP OPENED

--------------------------------------------------
* PREPARE PR GRAPH
* PAIR REDUCTION ..
* LEVEL 0 PASS 1 ROUND 1 (AUTO SOLVE) (A2,A4,B8,C7,C8,D8,E3,E6,G8,H2,H3,H5,I1,I5,I9)
* ...9...2...9.....5..47.39.8.95.6.4..6...975..3..5..89685..792.34...25.899...3.75.
* PAIR A2: 1,7 BLK 1
A1: 1,7,5                                # reduction candidate for 1,7
A1: 1,7 => CTR
* .8.95..2...928...5524713968295.614.76483975123..5428968516792434..12568996243875.
* PAIR H3: 1,6 BLK 3
G1: 1,6,3                                # reduction candidate for 1,6
G1: 1,6                                  # 16 pairs
G2: 1,6,3                                # reduction candidate for 1,6
G2: 1,6                                  # 17 pairs
* PAIR H3: 1,6 ROW 3
B3: 1,6,2                                # reduction candidate for 1,6
B3: 2 => CTR
* 5..9...277.9....45.247539682953684716481975323..5428968564792134...25.899..83.754
* PAIR RESTART
* PAIR H3: 1,6 BLK 3
G1: 1,6,3                                # reduction candidate for 1,6
G1: 1,6                                  # 16 pairs
G2: 1,6,3                                # reduction candidate for 1,6
G2: 1,6                                  # 14 pairs
* PAIR E6: 1,4 COL E
E1: 1,4,8                                # reduction candidate for 1,4
E1: 8 => SOLVED
* 563984127789612345214753968195368472648297531372541896856479213437125689921836754
* DURATION: 0:00:09.106737  START: 02:14:27.315668  END: 02:14:36.422405 2019-05-01
* SOLUTION FOUND
* SAVE PR GRAPH zz-www.sudokuoftheday.co.uk-20060830-absurd-base-pr-001.dot
* REASONING
* DIS # A1: 1,7 => CTR => A1: 5
* DIS A1: 5 # B3: 2 => CTR => B3: 1,6
* PRF A1: 5 + B3: 1,6 # E1: 8 => SOL
* STA A1: 5 + B3: 1,6 + E1: 8
* CNT   3 HDP CHAINS /   9 HYP OPENED

Header Info

http://www.sudokuoftheday.co.uk/cgi-bin/sudoku1280.cgi?ACTION=archive2&USER=&MONTH=Aug&YEAR=2006, 20060830, absurd

Solution

position: 563984127789612345214753968195368472648297531372541896856479213437125689921836754 solved
Solution

See section Pair Reduction for the HDP chains leading to this result.

Appendix: Full HDP Chains

A1. Pair Reduction Analysis

Full list of HDP chains traversed:

* DIS # A1: 1,7 => CTR => A1: 5
* INC # A1: 5 => UNS
* INC # E1: 1,5 => UNS
* INC # E1: 4,8 => UNS
* INC # A3: 1,5 => UNS
* INC # A3: 2 => UNS
* INC # G1: 1,6 => UNS
* INC # G2: 1,6 => UNS
* INC # B3: 1,6 => UNS
* INC # B3: 2 => UNS
* INC # H7: 1,6 => UNS
* DIS # H7: 4 => CTR => H7: 1,6
* DIS # B5: 1,2 => CTR => B5: 4,8
* INC # B5: 4,8 => UNS
* DIS # C5: 1,2 => CTR => C5: 8
* INC # C5: 8 => UNS
* INC # B6: 1,2 => UNS
* INC # C6: 1,2 => UNS
* DIS # D4: 1,2 => CTR => D4: 3,8
* INC # D4: 3,8 => UNS
* DIS # F4: 1,2 => CTR => F4: 8
* INC # F4: 8 => UNS
* INC # I4: 1,2 => UNS
* INC # A3: 1,2 => UNS
* DIS # A3: 5 => CTR => A3: 1,2
* INC # D5: 1,4 => UNS
* INC # F6: 1,4 => UNS
* INC # B6: 1,4 => UNS
* INC # B6: 2,7 => UNS
* INC # E1: 1,4 => UNS
* INC # E2: 1,4 => UNS
* DIS # H4: 1,3 => CTR => H4: 7
* INC # H4: 7 => UNS
* INC # D5: 1,3 => UNS
* INC # D5: 2,4 => UNS
* INC # I4: 1,2 => UNS
* DIS # I4: 7 => CTR => I4: 1,2
* DIS # B5: 1,2 => CTR => B5: 4,8
* INC # B5: 4,8 => UNS
* DIS # C5: 1,2 => CTR => C5: 8
* INC # C5: 8 => UNS
* INC # D5: 1,2 => UNS
* INC # B9: 1,6 => UNS
* INC # C9: 1,6 => UNS
* DIS # D7: 1,6 => CTR => D7: 4
* INC # D7: 4 => UNS
* INC # H7: 1,6 => UNS
* INC # C1: 1,6 => UNS
* INC # C1: 3,8 => UNS
* DIS # D7: 1,6 => CTR => D7: 4
* INC # D7: 4 => UNS
* DIS # D9: 1,6 => CTR => D9: 4,8
* INC # D9: 4,8 => UNS
* INC # F9: 1,6 => UNS
* INC # D2: 1,6 => UNS
* INC # D2: 2,4 => UNS
* INC # H7: 1,6 => UNS
* DIS # H7: 4 => CTR => H7: 1,6
* INC # G1: 1,6 => UNS
* INC # G2: 1,6 => UNS
* INC # H7: 1,4 => UNS
* DIS # H7: 6 => CTR => H7: 1,4
* DIS # D9: 1,4 => CTR => D9: 6,8
* INC # D9: 6,8 => UNS
* INC # F9: 1,4 => UNS
* CNT  65 HDP CHAINS /  65 HYP OPENED

A2. Pair Reduction

Full list of HDP chains traversed:

* DIS # A1: 1,7 => CTR => A1: 5
* INC A1: 5 # G1: 1,6 => UNS
* INC A1: 5 # G2: 1,6 => UNS
* INC A1: 5 # B3: 1,6 => UNS
* DIS A1: 5 # B3: 2 => CTR => B3: 1,6
* INC A1: 5 + B3: 1,6 # G1: 1,6 => UNS
* INC A1: 5 + B3: 1,6 # G2: 1,6 => UNS
* INC A1: 5 + B3: 1,6 # E1: 1,4 => UNS
* PRF A1: 5 + B3: 1,6 # E1: 8 => SOL
* STA A1: 5 + B3: 1,6 + E1: 8
* CNT   9 HDP CHAINS /   9 HYP OPENED