Computer Analysis of the UFO Puzzle
Supporting Details

John Rausch
500 S Parkview Ave #303
Bexley, OH 43209 USA

Go to figure 1 2 3 4 5 6 7 8 9 10 11 details

Figure 1

-12-- : Board (Sample)
-X--- :
----- : Solutions (3 Moves, 6 Steps) ... 1
---3- : Other solutions (3 Moves) ...... 0
-4--- : Positions evaluated ............ 27

X-DRU 1-DR X-D

Figure 2

1---- : Board (1a)
--X-- :
----- : Solutions (1 Move, 1 Step) ..... 1
--2-- : Other solutions (1 Move) ....... 0
----- : Positions evaluated ............ 1

X-D - Not Sig (1)

----- : Board (1b)
--X-- :
----- : Solutions (1 Move, 1 Step) ..... 1
--1-- : Other solutions (1 Move) ....... 0
----- : Positions evaluated ............ 1

X-D

1-2-3 : Board (2a)
-X--- :
----- : Solutions (4 Moves, 6 Steps) ... 2
----4 : Other solutions (4 Moves) ...... 2
--5-- : Positions evaluated ............ 1,465

2-D 1-R 4-LU X-RD
3-L 2-D 4-LU X-RD - Not Sig (1)

--1-2 : Board (2b)
-X--- :
----- : Solutions (4 Moves, 6 Steps) ... 1
----3 : Other solutions (4 Moves) ...... 0
--4-- : Positions evaluated ............ 85

2-L 1-D 3-LU X-RD

Figure 3 - Problem No. 1

Configurations ......................... 20
Configurations with solutions .......... 16
  With all pieces significant .......... 16
  With insignificant pieces ............ 0

Most moves for minimum solution ........ 4
Most steps for minimum solution ........ 9
Most solutions ......................... 2

                  Steps...
Moves  Count....  Min  Max
-----  ---------  ---  ---
    2          6    4    8
    3          8    5    9
    4          2    5    5

1X2-- : Problem No. 1
----- :
----- : Solutions (3 Moves, 7 Steps) ... 2
---3- : Other solutions (3 Moves) ...... 0
-4--- : Positions evaluated ............ 45

X-DRU 1-RDR X-D
X-DRU 2-LDR X-D

1-2X- : Problem No. 1
----- :
----- : Solutions (4 Moves, 5 Steps) ... 1
---3- : Other solutions (4 Moves) ...... 1
-4--- : Positions evaluated ............ 77

2-L X-L 2-DR X-D

1-2-X : Problem No. 1
----- :
----- : Solutions (4 Moves, 5 Steps) ... 1
---3- : Other solutions (4 Moves) ...... 1
-4--- : Positions evaluated ............ 179

2-L X-L 2-DR X-D

1-2-- : Problem No. 1
X---- :
----- : Solutions (2 Moves, 8 Steps) ... 1
---3- : Other solutions (2 Moves) ...... 0
-4--- : Positions evaluated ............ 15

1-RDRU X-RDRU

1-2-- : Problem No. 1
-X--- :
----- : Solutions (3 Moves, 7 Steps) ... 2
---3- : Other solutions (3 Moves) ...... 0
-4--- : Positions evaluated ............ 61

X-DRU 1-RDR X-D
X-DRU 2-LDR X-D

1-2-- : Problem No. 1
--X-- :
----- : Solutions (2 Moves, 4 Steps) ... 2
---3- : Other solutions (2 Moves) ...... 0
-4--- : Positions evaluated ............ 15

1-RDR X-D
2-LDR X-D

1-2-- : Problem No. 1
---X- :
----- : Solutions ...................... None
---3- :
-4--- : Positions evaluated ............ 55

1-2-- : Problem No. 1
----X :
----- : Solutions ...................... None
---3- :
-4--- : Positions evaluated ............ 21

1-2-- : Problem No. 1
----- :
X---- : Solutions (3 Moves, 9 Steps) ... 1
---3- : Other solutions (3 Moves) ...... 0
-4--- : Positions evaluated ............ 27

X-U 1-RDRU X-RDRU

1-2-- : Problem No. 1
----- :
-X--- : Solutions (3 Moves, 7 Steps) ... 2
---3- : Other solutions (3 Moves) ...... 0
-4--- : Positions evaluated ............ 118

X-DRU 1-RDR X-D
X-DRU 2-LDR X-D

1-2-- : Problem No. 1
----- :
---X- : Solutions ...................... None
---3- :
-4--- : Positions evaluated ............ 9

1-2-- : Problem No. 1
----- :
----X : Solutions ...................... None
---3- :
-4--- : Positions evaluated ............ 15

1-2-- : Problem No. 1
----- :
----- : Solutions (2 Moves, 6 Steps) ... 1
X--3- : Other solutions (2 Moves) ...... 0
-4--- : Positions evaluated ............ 61

1-RDRU X-RU

1-2-- : Problem No. 1
----- :
----- : Solutions (3 Moves, 6 Steps) ... 2
-X-3- : Other solutions (3 Moves) ...... 0
-4--- : Positions evaluated ............ 66

X-RU 1-RDR X-D
X-RU 2-LDR X-D

1-2-- : Problem No. 1
----- :
----- : Solutions (3 Moves, 5 Steps) ... 2
--X3- : Other solutions (3 Moves) ...... 0
-4--- : Positions evaluated ............ 35

X-U 1-RDR X-D
X-U 2-LDR X-D

1-2-- : Problem No. 1
----- :
----- : Solutions (3 Moves, 6 Steps) ... 1
---3X : Other solutions (3 Moves) ...... 0
-4--- : Positions evaluated ............ 13

1-RD 3-LU X-LU

1-2-- : Problem No. 1
----- :
----- : Solutions (3 Moves, 9 Steps) ... 1
---3- : Other solutions (3 Moves) ...... 0
X4--- : Positions evaluated ............ 19

X-U 1-RDRU X-RDRU

1-2-- : Problem No. 1
----- :
----- : Solutions (2 Moves, 5 Steps) ... 1
---3- : Other solutions (2 Moves) ...... 0
-4X-- : Positions evaluated ............ 30

1-RDRU X-U

1-2-- : Problem No. 1
----- :
----- : Solutions (2 Moves, 6 Steps) ... 1
---3- : Other solutions (2 Moves) ...... 0
-4-X- : Positions evaluated ............ 51

1-RDRU X-LU

1-2-- : Problem No. 1
----- :
----- : Solutions (2 Moves, 6 Steps) ... 1
---3- : Other solutions (2 Moves) ...... 0
-4--X : Positions evaluated ............ 51

1-RDRU X-LU

Figure 3 - Problem Nos. 2 and 3

Configurations ......................... 38
Configurations with solutions .......... 38
  With all UFOs significant ............ 30
  With insignificant UFOs .............. 8

Most moves for minimum solution ........ 6
Most steps for minimum solution ........ 10
Most solutions ......................... 9

                  Steps...
Moves  Count....  Min  Max
-----  ---------  ---  ---
    3         11    5    8
    4         16    5   10
    5          9    6    9
    6          2    9    9

12X-3 : Problem No. 2
----- :
----- : Solutions (3 Moves, 5 Steps) ... 1
----- : Other solutions (3 Moves) ...... 0
4--5- : Positions evaluated ............ 1,692

3-LD 1-DR X-D - Not Sig (2)

12-X3 : Problem No. 2
----- :
----- : Solutions (4 Moves, 6 Steps) ... 1
----- : Other solutions (4 Moves) ...... 0
4--5- : Positions evaluated ............ 1,381

X-L 3-LD 1-DR X-D

12--3 : Problem No. 2
X---- :
----- : Solutions (5 Moves, 7 Steps) ... 4
----- : Other solutions (5 Moves) ...... 0
4--5- : Positions evaluated ............ 3,208

2-R 4-R 1-RD 5-U X-RD
2-R 4-R 5-U 1-RD X-RD
4-R 2-R 1-RD 5-U X-RD
4-R 2-R 5-U 1-RD X-RD

12--3 : Problem No. 2
-X--- :
----- : Solutions (5 Moves, 7 Steps) ... 4
----- : Other solutions (5 Moves) ...... 0
4--5- : Positions evaluated ............ 698

2-R 4-R 1-RD 5-U X-RD
2-R 4-R 5-U 1-RD X-RD
4-R 2-R 1-RD 5-U X-RD
4-R 2-R 5-U 1-RD X-RD

12--3 : Problem No. 2
--X-- :
----- : Solutions (3 Moves, 5 Steps) ... 1
----- : Other solutions (3 Moves) ...... 0
4--5- : Positions evaluated ............ 208

2-RD 1-DR X-D

12--3 : Problem No. 2
---X- :
----- : Solutions (5 Moves, 8 Steps) ... 1
----- : Other solutions (5 Moves) ...... 9
4--5- : Positions evaluated ............ 1,624

1-D 4-R 3-LD 1-RU X-LD

12--3 : Problem No. 2
----X :
----- : Solutions (5 Moves, 8 Steps) ... 1
----- : Other solutions (5 Moves) ...... 2
4--5- : Positions evaluated ............ 461

1-D 4-R 3-LD 1-RU X-LD

12--3 : Problem No. 2
----- :
X---- : Solutions (3 Moves, 5 Steps) ... 1
----- : Other solutions (3 Moves) ...... 0
4--5- : Positions evaluated ............ 3,569

2-RD 1-RD X-R - Not Sig (4)

12--3 : Problem No. 2
----- :
-X--- : Solutions (3 Moves, 5 Steps) ... 1
----- : Other solutions (3 Moves) ...... 0
4--5- : Positions evaluated ............ 1,055

2-RD 1-RD X-R - Not Sig (4)

12--3 : Problem No. 2
----- :
---X- : Solutions (4 Moves, 5 Steps) ... 2
----- : Other solutions (4 Moves) ...... 0
4--5- : Positions evaluated ............ 1,996

1-D 5-UL 2-D X-L - Not Sig (3)
5-L 2-D 3-LD X-L

12--3 : Problem No. 2
----- :
----X : Solutions (4 Moves, 5 Steps) ... 1
----- : Other solutions (4 Moves) ...... 0
4--5- : Positions evaluated ............ 1,824

5-L 2-D 3-LD X-L

12--3 : Problem No. 2
----- :
----- : Solutions (5 Moves, 7 Steps) ... 2
X---- : Other solutions (5 Moves) ...... 0
4--5- : Positions evaluated ............ 3,111

2-R 1-R 2-D 4-RU X-RU
2-R 1-R 4-RU 2-D X-RU

12--3 : Problem No. 2
----- :
----- : Solutions (5 Moves, 7 Steps) ... 2
-X--- : Other solutions (5 Moves) ...... 2
4--5- : Positions evaluated ............ 1,726

2-R 1-R 2-D 4-RU X-RU
2-R 1-R 4-RU 2-D X-RU

12--3 : Problem No. 2
----- :
----- : Solutions (4 Moves, 5 Steps) ... 1
--X-- : Other solutions (4 Moves) ...... 1
4--5- : Positions evaluated ............ 795

2-R 5-U 4-UR X-U

12--3 : Problem No. 2
----- :
----- : Solutions (4 Moves, 8 Steps) ... 6
---X- : Other solutions (4 Moves) ...... 0
4--5- : Positions evaluated ............ 726

1-DR 5-LU 2-R X-ULD
1-D 5-LU 2-RD X-LUR
5-LU 1-DR 2-R X-ULD
5-LU 1-D 2-RD X-LUR
5-LU 2-RD 1-D X-LUR
5-LU 2-R 1-DR X-ULD

12--3 : Problem No. 2
----- :
----- : Solutions (6 Moves, 9 Steps) ... 9
----X : Other solutions (6 Moves) ...... 6
4--5- : Positions evaluated ............ 4,394

X-U 1-D 4-R 3-LD 1-RU X-LD
1-DR 3-L 5-L 2-D 1-LU X-LU
1-DR 5-L 3-L 2-D 1-LU X-LU
1-D X-U 4-R 3-LD 1-RU X-LD
1-D 4-R X-U 3-LD 1-RU X-LD
3-L 1-DR 5-L 2-D 1-LU X-LU
3-L 5-L 1-DR 2-D 1-LU X-LU
5-L 1-DR 3-L 2-D 1-LU X-LU
5-L 3-L 1-DR 2-D 1-LU X-LU

12--3 : Problem No. 2
----- :
----- : Solutions (5 Moves, 6 Steps) ... 2
----- : Other solutions (5 Moves) ...... 1
4X-5- : Positions evaluated ............ 3,214

X-R 2-R 5-U 4-UR X-U
2-R X-R 5-U 4-UR X-U

12--3 : Problem No. 2
----- :
----- : Solutions (4 Moves, 5 Steps) ... 1
----- : Other solutions (4 Moves) ...... 1
4-X5- : Positions evaluated ............ 3,073

2-R 5-U 4-UR X-U

12--3 : Problem No. 2
----- :
----- : Solutions (6 Moves, 9 Steps) ... 3
----- : Other solutions (6 Moves) ...... 7
4--5X : Positions evaluated ............ 4,725

X-U 1-D 4-R 3-LD 1-RU X-LD
1-D X-U 4-R 3-LD 1-RU X-LD
1-D 4-R X-U 3-LD 1-RU X-LD

1X2-- : Problem No. 3
----- :
----3 : Solutions (3 Moves, 6 Steps) ... 3
4---- : Other solutions (3 Moves) ...... 0
----5 : Positions evaluated ............ 107

1-DR 3-DL X-DR - Not Sig (2)
1-DR 5-UL X-DR - Not Sig (2)
5-UL 1-DR X-DR - Not Sig (2)

1-2X- : Problem No. 3
----- :
----3 : Solutions (3 Moves, 8 Steps) ... 1
4---- : Other solutions (3 Moves) ...... 0
----5 : Positions evaluated ............ 1,086

5-UL 2-LDR X-LDR

1-2-X : Problem No. 3
----- :
----3 : Solutions (3 Moves, 8 Steps) ... 1
4---- : Other solutions (3 Moves) ...... 0
----5 : Positions evaluated ............ 3,887

5-UL 2-LDR X-LDR

1-2-- : Problem No. 3
X---- :
----3 : Solutions (3 Moves, 7 Steps) ... 2
4---- : Other solutions (3 Moves) ...... 0
----5 : Positions evaluated ............ 1,007

5-UL 1-RDR X-DR
5-UL 2-LDR X-DR

1-2-- : Problem No. 3
-X--- :
----3 : Solutions (3 Moves, 6 Steps) ... 3
4---- : Other solutions (3 Moves) ...... 0
----5 : Positions evaluated ............ 244

1-DR 3-DL X-DR - Not Sig (2)
1-DR 5-UL X-DR - Not Sig (2)
5-UL 1-DR X-DR - Not Sig (2)

1-2-- : Problem No. 3
--X-- :
----3 : Solutions (4 Moves, 9 Steps) ... 3
4---- : Other solutions (4 Moves) ...... 0
----5 : Positions evaluated ............ 446

5-UL 2-LDR 4-U X-LDR
5-UL 4-U 1-RDR X-LDR
5-UL 4-U 2-LDR X-LDR

1-2-- : Problem No. 3
---X- :
----3 : Solutions (4 Moves, 9 Steps) ... 3
4---- : Other solutions (4 Moves) ...... 0
----5 : Positions evaluated ............ 659

5-UL 2-LDR 4-U X-LDR
5-UL 4-U 1-RDR X-LDR
5-UL 4-U 2-LDR X-LDR

1-2-- : Problem No. 3
----X :
----3 : Solutions (4 Moves, 5 Steps) ... 2
4---- : Other solutions (4 Moves) ...... 4
----5 : Positions evaluated ............ 1,125

1-D 5-U 3-L X-DL - Not Sig (2)
5-U 1-D 3-L X-DL - Not Sig (2)

1-2-- : Problem No. 3
----- :
X---3 : Solutions (3 Moves, 6 Steps) ... 2
4---- : Other solutions (3 Moves) ...... 0
----5 : Positions evaluated ............ 1,043

5-UL 1-RDR X-R
5-UL 2-LDR X-R

1-2-- : Problem No. 3
----- :
-X--3 : Solutions (4 Moves, 6 Steps) ... 6
4---- : Other solutions (4 Moves) ...... 4
----5 : Positions evaluated ............ 1,434

X-R 3-DL 1-RD X-L
X-R 3-DL 2-LD X-L
X-R 5-UL 1-RD X-L
X-R 5-UL 2-LD X-L
5-UL X-R 1-RD X-L
5-UL X-R 2-LD X-L

1-2-- : Problem No. 3
----- :
---X3 : Solutions (3 Moves, 5 Steps) ... 4
4---- : Other solutions (3 Moves) ...... 0
----5 : Positions evaluated ............ 306

3-DL 1-RD X-L
3-DL 2-LD X-L
5-UL 1-RD X-L
5-UL 2-LD X-L

1-2-- : Problem No. 3
----- :
----3 : Solutions (4 Moves, 10 Steps) .. 3
4X--- : Other solutions (4 Moves) ...... 1
----5 : Positions evaluated ............ 2,094

4-U 1-RDR 3-DLUL X-UR
4-U 1-RDR 5-ULUL X-UR
5-ULU 2-LDR 4-UR X-UR

1-2-- : Problem No. 3
----- :
----3 : Solutions (4 Moves, 5 Steps) ... 4
4-X-- : Other solutions (4 Moves) ...... 1
----5 : Positions evaluated ............ 8,046

3-DL X-U 4-R X-D - Not Sig (1)
4-R X-U 3-DL X-D - Not Sig (1)
4-R X-U 5-UL X-D - Not Sig (1)
5-UL X-U 4-R X-D - Not Sig (1)

1-2-- : Problem No. 3
----- :
----3 : Solutions (5 Moves, 9 Steps) ... 5
4--X- : Other solutions (5 Moves) ...... 4
----5 : Positions evaluated ............ 3,336

2-L X-LU 1-DR 3-DL X-DR
2-L X-LU 1-DR 5-UL X-DR
2-L X-LU 5-UL 1-DR X-DR
2-L 1-DR X-LU 3-DL X-DR
2-L 1-DR X-LU 5-UL X-DR

1-2-- : Problem No. 3
----- :
----3 : Solutions (5 Moves, 9 Steps) ... 5
4---X : Other solutions (5 Moves) ...... 4
----5 : Positions evaluated ............ 2,633

2-L X-LU 1-DR 3-DL X-DR
2-L X-LU 1-DR 5-UL X-DR
2-L X-LU 5-UL 1-DR X-DR
2-L 1-DR X-LU 3-DL X-DR
2-L 1-DR X-LU 5-UL X-DR

1-2-- : Problem No. 3
----- :
----3 : Solutions (4 Moves, 8 Steps) ... 3
4---- : Other solutions (4 Moves) ...... 1
X---5 : Positions evaluated ............ 1,864

5-UL 2-LDR 4-U X-UR
5-UL 4-U 1-RDR X-UR
5-UL 4-U 2-LDR X-UR

1-2-- : Problem No. 3
----- :
----3 : Solutions (4 Moves, 8 Steps) ... 3
4---- : Other solutions (4 Moves) ...... 1
-X--5 : Positions evaluated ............ 2,920

2-L 1-DR 3-DLU X-UR
2-L 1-DR 5-ULU X-UR
2-L 5-ULU 1-DR X-UR

1-2-- : Problem No. 3
----- :
----3 : Solutions (4 Moves, 7 Steps) ... 3
4---- : Other solutions (4 Moves) ...... 3
--X-5 : Positions evaluated ............ 3,129

1-DR 5-LU 4-RU X-U
5-L 1-DRD 4-RU X-U
5-UL 1-RD 3-LU X-U

1-2-- : Problem No. 3
----- :
----3 : Solutions (4 Moves, 10 Steps) .. 3
4---- : Other solutions (4 Moves) ...... 2
---X5 : Positions evaluated ............ 686

2-L 1-DR 3-DLU X-ULUR
2-L 1-DR 5-ULU X-ULUR
2-L 5-ULU 1-DR X-ULUR

Figure 3 - Problem No. 4

Configurations ......................... 19
Configurations with solutions .......... 19
  With all UFOs significant ............ 13
  With insignificant UFOs .............. 6

Most moves for minimum solution ........ 6
Most steps for minimum solution ........ 10
Most solutions ......................... 14

                  Steps...
Moves  Count....  Min  Max
-----  ---------  ---  ---
    2          2    2    2
    4         11    6    9
    5          4    6   10
    6          2   10   10

12X-- : Problem No. 4
----- :
--3-4 : Solutions (4 Moves, 6 Steps) ... 3
----- : Other solutions (4 Moves) ...... 0
5---6 : Positions evaluated ............ 4,381

3-R 6-L 2-D X-LDR
6-L 2-D 3-R X-LDR
6-L 3-R 2-D X-LDR

12-X- : Problem No. 4
----- :
--3-4 : Solutions (4 Moves, 6 Steps) ... 3
----- : Other solutions (4 Moves) ...... 0
5---6 : Positions evaluated ............ 20,541

3-R 6-L 2-D X-LDR
6-L 2-D 3-R X-LDR
6-L 3-R 2-D X-LDR

12--X : Problem No. 4
----- :
--3-4 : Solutions (4 Moves, 6 Steps) ... 3
----- : Other solutions (4 Moves) ...... 2
5---6 : Positions evaluated ............ 11,081

3-R 6-L 2-D X-LDR
6-L 2-D 3-R X-LDR
6-L 3-R 2-D X-LDR

12--- : Problem No. 4
X---- :
--3-4 : Solutions (6 Moves, 10 Steps) .. 3
----- : Other solutions (6 Moves) ...... 6
5---6 : Positions evaluated ............ 19,301

3-R 4-D X-DR 1-D 6-LU X-LUR
3-R 4-D X-DR 6-LU 1-D X-LUR
3-R 4-D 6-LU X-DR 1-D X-LUR

12--- : Problem No. 4
-X--- :
--3-4 : Solutions (4 Moves, 6 Steps) ... 5
----- : Other solutions (4 Moves) ...... 2
5---6 : Positions evaluated ............ 528

1-D 3-R 4-DL X-DR - Not Sig (2)
1-D 3-R 6-UL X-DR - Not Sig (2)
1-D 6-UL 3-R X-DR - Not Sig (2)
3-R 1-D 4-DL X-DR - Not Sig (2)
3-R 1-D 6-UL X-DR - Not Sig (2)

12--- : Problem No. 4
--X-- :
--3-4 : Solutions (5 Moves, 6 Steps) ... 3
----- : Other solutions (5 Moves) ...... 18
5---6 : Positions evaluated ............ 1,361

1-D 3-R 5-RU 1-R X-D - Not Sig (2)
1-D 5-R 3-RD 1-R X-D - Not Sig (2)
3-R 1-D 5-RU 1-R X-D - Not Sig (2)

12--- : Problem No. 4
---X- :
--3-4 : Solutions (5 Moves, 7 Steps) ... 8
----- : Other solutions (5 Moves) ...... 3
5---6 : Positions evaluated ............ 3,378

3-R 6-L 2-D 5-U X-LDR
3-R 6-L 5-U 2-D X-LDR
6-L 2-D 3-R 5-U X-LDR
6-L 2-D 5-U 3-R X-LDR
6-L 3-R 2-D 5-U X-LDR
6-L 3-R 5-U 2-D X-LDR
6-L 5-U 2-D 3-R X-LDR
6-L 5-U 3-R 2-D X-LDR

12--- : Problem No. 4
----X :
--3-4 : Solutions (4 Moves, 9 Steps) ... 2
----- : Other solutions (4 Moves) ...... 0
5---6 : Positions evaluated ............ 1,590

1-D 3-R 4-DLU X-DLUR
3-R 1-D 4-DLU X-DLUR

12--- : Problem No. 4
----- :
X-3-4 : Solutions (2 Moves, 2 Steps) ... 1
----- : Other solutions (2 Moves) ...... 0
5---6 : Positions evaluated ............ 1,271

3-R X-R - Not Sig (1,2,5,6)

12--- : Problem No. 4
----- :
-X3-4 : Solutions (2 Moves, 2 Steps) ... 1
----- : Other solutions (2 Moves) ...... 0
5---6 : Positions evaluated ............ 895

3-R X-R - Not Sig (1,2,5,6)

12--- : Problem No. 4
----- :
--3X4 : Solutions (6 Moves, 10 Steps) .. 7
----- : Other solutions (6 Moves) ...... 0
5---6 : Positions evaluated ............ 1,429

1-D 5-R X-DLU 3-R 4-DL X-DR
1-D 5-R X-DLU 3-R 5-UL X-DR
1-D 5-R X-DLU 3-R 6-UL X-DR
1-D 5-R X-DLU 6-UL 3-R X-DR
1-D 5-R 6-ULU X-DLU 3-R X-R
1-D 5-R 6-ULU X-DL 3-R X-UR
1-D 5-R 6-ULU X-D 3-R X-LUR

12--- : Problem No. 4
----- :
--3-4 : Solutions (5 Moves, 10 Steps) .. 3
X---- : Other solutions (5 Moves) ...... 0
5---6 : Positions evaluated ............ 26,039

3-R 4-DL 5-RUL 4-U X-RUR - Not Sig (1)
3-R 5-RUL 4-DL 5-U X-RUR - Not Sig (1)
3-R 5-RUL 6-UL 5-U X-RUR - Not Sig (1)

12--- : Problem No. 4
----- :
--3-4 : Solutions (5 Moves, 7 Steps) ... 14
-X--- : Other solutions (5 Moves) ...... 11
5---6 : Positions evaluated ............ 5,723

X-U 1-D 3-R 4-DL X-DR
X-U 1-D 3-R 6-UL X-DR
X-U 1-D 6-UL 3-R X-DR
X-U 3-R 1-D 4-DL X-DR
X-U 3-R 1-D 6-UL X-DR
1-D X-U 3-R 4-DL X-DR
1-D X-U 3-R 6-UL X-DR
1-D X-U 6-UL 3-R X-DR
1-D 3-R X-U 4-DL X-DR
1-D 3-R X-U 6-UL X-DR
3-R X-U 1-D 4-DL X-DR
3-R X-U 1-D 6-UL X-DR
3-R 1-D X-U 4-DL X-DR
3-R 1-D X-U 6-UL X-DR

12--- : Problem No. 4
----- :
--3-4 : Solutions (4 Moves, 7 Steps) ... 6
--X-- : Other solutions (4 Moves) ...... 0
5---6 : Positions evaluated ............ 3,537

1-D 3-R 6-LU X-LUR
1-D 6-LU 3-R X-LUR
3-R 1-D 6-LU X-LUR
3-R 6-LU 1-D X-LUR
6-LU 1-D 3-R X-LUR
6-LU 3-R 1-D X-LUR

12--- : Problem No. 4
----- :
--3-4 : Solutions (4 Moves, 7 Steps) ... 6
---X- : Other solutions (4 Moves) ...... 0
5---6 : Positions evaluated ............ 1,278

1-D 3-R 6-LU X-LUR
1-D 6-LU 3-R X-LUR
3-R 1-D 6-LU X-LUR
3-R 6-LU 1-D X-LUR
6-LU 1-D 3-R X-LUR
6-LU 3-R 1-D X-LUR

12--- : Problem No. 4
----- :
--3-4 : Solutions (4 Moves, 7 Steps) ... 6
----X : Other solutions (4 Moves) ...... 2
5---6 : Positions evaluated ............ 1,136

1-D 3-R 6-LU X-LUR
1-D 6-LU 3-R X-LUR
3-R 1-D 6-LU X-LUR
3-R 6-LU 1-D X-LUR
6-LU 1-D 3-R X-LUR
6-LU 3-R 1-D X-LUR

12--- : Problem No. 4
----- :
--3-4 : Solutions (4 Moves, 7 Steps) ... 5
----- : Other solutions (4 Moves) ...... 5
5X--6 : Positions evaluated ............ 6,203

1-D 3-R 4-DLU X-UR
1-D 3-R 6-ULU X-UR
1-D 6-ULU 3-R X-UR
3-R 1-D 4-DLU X-UR
3-R 1-D 6-ULU X-UR

12--- : Problem No. 4
----- :
--3-4 : Solutions (4 Moves, 8 Steps) ... 8
----- : Other solutions (4 Moves) ...... 13
5-X-6 : Positions evaluated ............ 13,358

1-D 3-R 4-DLU X-LUR
1-D 3-R 6-ULU X-LUR
1-D 4-L 3-DLU X-LUR - Not Sig (6)
1-D 6-ULU 3-R X-LUR
3-R 1-D 4-DLU X-LUR
3-R 1-D 6-ULU X-LUR
4-L 1-D 3-DLU X-LUR - Not Sig (6)
4-L 3-D 1-DRU X-LUR - Not Sig (6)

12--- : Problem No. 4
----- :
--3-4 : Solutions (4 Moves, 8 Steps) ... 5
----- : Other solutions (4 Moves) ...... 8
5--X6 : Positions evaluated ............ 5,024

1-D 3-R 4-DLU X-LUR
1-D 3-R 6-ULU X-LUR
1-D 6-ULU 3-R X-LUR
3-R 1-D 4-DLU X-LUR
3-R 1-D 6-ULU X-LUR

Figure 4 - Problem Nos. 1 - 3

Configurations ......................... 84
Configurations with solutions .......... 75
  With all pieces significant .......... 69
  With insignificant pieces ............ 6

Most moves for minimum solution ........ 5
Most steps for minimum solution ........ 9
Most solutions ......................... 6

                  Steps...
Moves  Count....  Min  Max
-----  ---------  ---  ---
    2          1    3    3
    3         44    4    8
    4         28    5    9
    5          2    9    9

  1X-   : Problem No. 1
  --2   :
-3----- : Solutions (3 Moves, 7 Steps) ... 1
---4--- : Other solutions (3 Moves) ...... 1
---5--- : Positions evaluated ............ 31
  ---   :
  ---   :

X-DLUR 4-UL X-D

  1-X   : Problem No. 1
  --2   :
-3----- : Solutions (3 Moves, 8 Steps) ... 1
---4--- : Other solutions (3 Moves) ...... 1
---5--- : Positions evaluated ............ 33
  ---   :
  ---   :

X-LDLUR 4-UL X-D

  1--   : Problem No. 1
  X-2   :
-3----- : Solutions (3 Moves, 4 Steps) ... 1
---4--- : Other solutions (3 Moves) ...... 1
---5--- : Positions evaluated ............ 35
  ---   :
  ---   :

X-R 4-UL X-D - Not Sig (1)

  1--   : Problem No. 1
  -X2   :
-3----- : Solutions (2 Moves, 3 Steps) ... 1
---4--- : Other solutions (2 Moves) ...... 1
---5--- : Positions evaluated ............ 37
  ---   :
  ---   :

4-UL X-D - Not Sig (1,2)

  1--   : Problem No. 1
  --2   :
X3----- : Solutions ...................... None
---4--- :
---5--- : Positions evaluated ............ 1
  ---   :
  ---   :

  1--   : Problem No. 1
  --2   :
-3X---- : Solutions (3 Moves, 5 Steps) ... 1
---4--- : Other solutions (3 Moves) ...... 1
---5--- : Positions evaluated ............ 31
  ---   :
  ---   :

X-UR 4-UL X-D

  1--   : Problem No. 1
  --2   :
-3-X--- : Solutions (3 Moves, 6 Steps) ... 1
---4--- : Other solutions (3 Moves) ...... 1
---5--- : Positions evaluated ............ 29
  ---   :
  ---   :

X-LUR 4-UL X-D

  1--   : Problem No. 1
  --2   :
-3--X-- : Solutions (3 Moves, 6 Steps) ... 1
---4--- : Other solutions (3 Moves) ...... 1
---5--- : Positions evaluated ............ 31
  ---   :
  ---   :

X-LUR 4-UL X-D

  1--   : Problem No. 1
  --2   :
-3---X- : Solutions (3 Moves, 6 Steps) ... 1
---4--- : Other solutions (3 Moves) ...... 1
---5--- : Positions evaluated ............ 31
  ---   :
  ---   :

X-LUR 4-UL X-D

  1--   : Problem No. 1
  --2   :
-3----X : Solutions (3 Moves, 6 Steps) ... 1
---4--- : Other solutions (3 Moves) ...... 1
---5--- : Positions evaluated ............ 31
  ---   :
  ---   :

X-LUR 4-UL X-D

  1--   : Problem No. 1
  --2   :
-3----- : Solutions (3 Moves, 6 Steps) ... 1
X--4--- : Other solutions (3 Moves) ...... 1
---5--- : Positions evaluated ............ 36
  ---   :
  ---   :

X-RUR 4-UL X-D

  1--   : Problem No. 1
  --2   :
-3----- : Solutions (3 Moves, 6 Steps) ... 1
-X-4--- : Other solutions (3 Moves) ...... 1
---5--- : Positions evaluated ............ 43
  ---   :
  ---   :

X-RUR 4-UL X-D

  1--   : Problem No. 1
  --2   :
-3----- : Solutions (3 Moves, 5 Steps) ... 1
--X4--- : Other solutions (3 Moves) ...... 1
---5--- : Positions evaluated ............ 34
  ---   :
  ---   :

X-UR 4-UL X-D

  1--   : Problem No. 1
  --2   :
-3----- : Solutions (3 Moves, 7 Steps) ... 1
---4X-- : Other solutions (3 Moves) ...... 1
---5--- : Positions evaluated ............ 37
  ---   :
  ---   :

X-ULUR 4-UL X-D

  1--   : Problem No. 1
  --2   :
-3----- : Solutions (3 Moves, 8 Steps) ... 1
---4-X- : Other solutions (3 Moves) ...... 1
---5--- : Positions evaluated ............ 80
  ---   :
  ---   :

X-LULUR 4-UL X-D

  1--   : Problem No. 1
  --2   :
-3----- : Solutions (3 Moves, 8 Steps) ... 1
---4--X : Other solutions (3 Moves) ...... 1
---5--- : Positions evaluated ............ 39
  ---   :
  ---   :

X-LULUR 4-UL X-D

  1--   : Problem No. 1
  --2   :
-3----- : Solutions (3 Moves, 6 Steps) ... 1
---4--- : Other solutions (3 Moves) ...... 1
X--5--- : Positions evaluated ............ 36
  ---   :
  ---   :

X-RUR 4-UL X-D

  1--   : Problem No. 1
  --2   :
-3----- : Solutions (3 Moves, 6 Steps) ... 1
---4--- : Other solutions (3 Moves) ...... 3
-X-5--- : Positions evaluated ............ 173
  ---   :
  ---   :

X-RUR 4-UL X-D

  1--   : Problem No. 1
  --2   :
-3----- : Solutions (3 Moves, 5 Steps) ... 1
---4--- : Other solutions (3 Moves) ...... 1
--X5--- : Positions evaluated ............ 34
  ---   :
  ---   :

X-UR 4-UL X-D

  1--   : Problem No. 1
  --2   :
-3----- : Solutions (3 Moves, 7 Steps) ... 1
---4--- : Other solutions (3 Moves) ...... 1
---5X-- : Positions evaluated ............ 33
  ---   :
  ---   :

X-ULUR 4-UL X-D

  1--   : Problem No. 1
  --2   :
-3----- : Solutions (3 Moves, 8 Steps) ... 1
---4--- : Other solutions (3 Moves) ...... 1
---5-X- : Positions evaluated ............ 35
  ---   :
  ---   :

X-LULUR 4-UL X-D

  1--   : Problem No. 1
  --2   :
-3----- : Solutions (3 Moves, 8 Steps) ... 1
---4--- : Other solutions (3 Moves) ...... 1
---5--X : Positions evaluated ............ 35
  ---   :
  ---   :

X-LULUR 4-UL X-D

  1--   : Problem No. 1
  --2   :
-3----- : Solutions (3 Moves, 5 Steps) ... 1
---4--- : Other solutions (3 Moves) ...... 1
---5--- : Positions evaluated ............ 34
  X--   :
  ---   :

X-UR 4-UL X-D

  1--   : Problem No. 1
  --2   :
-3----- : Solutions ...................... None
---4--- :
---5--- : Positions evaluated ............ 1
  -X-   :
  ---   :

  1--   : Problem No. 1
  --2   :
-3----- : Solutions (3 Moves, 7 Steps) ... 1
---4--- : Other solutions (3 Moves) ...... 1
---5--- : Positions evaluated ............ 33
  --X   :
  ---   :

X-ULUR 4-UL X-D

  1--   : Problem No. 1
  --2   :
-3----- : Solutions (3 Moves, 5 Steps) ... 1
---4--- : Other solutions (3 Moves) ...... 1
---5--- : Positions evaluated ............ 34
  ---   :
  X--   :

X-UR 4-UL X-D

  1--   : Problem No. 1
  --2   :
-3----- : Solutions ...................... None
---4--- :
---5--- : Positions evaluated ............ 4
  ---   :
  -X-   :

  1--   : Problem No. 1
  --2   :
-3----- : Solutions (3 Moves, 7 Steps) ... 1
---4--- : Other solutions (3 Moves) ...... 1
---5--- : Positions evaluated ............ 33
  ---   :
  --X   :

X-ULUR 4-UL X-D

  1X-   : Problem No. 2
  --2   :
-3----- : Solutions (4 Moves, 8 Steps) ... 2
---4--- : Other solutions (4 Moves) ...... 2
------- : Positions evaluated ............ 617
  ---   :
  -5-   :

X-DLUR 5-U 4-UL X-D
5-U X-DLUR 4-UL X-D

  1-X   : Problem No. 2
  --2   :
-3----- : Solutions (4 Moves, 9 Steps) ... 2
---4--- : Other solutions (4 Moves) ...... 2
------- : Positions evaluated ............ 646
  ---   :
  -5-   :

X-LDLUR 5-U 4-UL X-D
5-U X-LDLUR 4-UL X-D

  1--   : Problem No. 2
  X-2   :
-3----- : Solutions (4 Moves, 5 Steps) ... 2
---4--- : Other solutions (4 Moves) ...... 2
------- : Positions evaluated ............ 669
  ---   :
  -5-   :

X-R 5-U 4-UL X-D - Not Sig (1)
5-U X-R 4-UL X-D - Not Sig (1)

  1--   : Problem No. 2
  -X2   :
-3----- : Solutions (3 Moves, 4 Steps) ... 1
---4--- : Other solutions (3 Moves) ...... 1
------- : Positions evaluated ............ 742
  ---   :
  -5-   :

5-U 4-UL X-D - Not Sig (1,2)

  1--   : Problem No. 2
  --2   :
X3----- : Solutions ...................... None
---4--- :
------- : Positions evaluated ............ 3
  ---   :
  -5-   :

  1--   : Problem No. 2
  --2   :
-3X---- : Solutions (4 Moves, 6 Steps) ... 2
---4--- : Other solutions (4 Moves) ...... 2
------- : Positions evaluated ............ 616
  ---   :
  -5-   :

X-UR 5-U 4-UL X-D
5-U X-UR 4-UL X-D

  1--   : Problem No. 2
  --2   :
-3-X--- : Solutions (4 Moves, 7 Steps) ... 2
---4--- : Other solutions (4 Moves) ...... 2
------- : Positions evaluated ............ 650
  ---   :
  -5-   :

X-LUR 5-U 4-UL X-D
5-U X-LUR 4-UL X-D

  1--   : Problem No. 2
  --2   :
-3--X-- : Solutions (4 Moves, 7 Steps) ... 2
---4--- : Other solutions (4 Moves) ...... 2
------- : Positions evaluated ............ 644
  ---   :
  -5-   :

X-LUR 5-U 4-UL X-D
5-U X-LUR 4-UL X-D

  1--   : Problem No. 2
  --2   :
-3---X- : Solutions (4 Moves, 7 Steps) ... 2
---4--- : Other solutions (4 Moves) ...... 2
------- : Positions evaluated ............ 642
  ---   :
  -5-   :

X-LUR 5-U 4-UL X-D
5-U X-LUR 4-UL X-D

  1--   : Problem No. 2
  --2   :
-3----X : Solutions (4 Moves, 7 Steps) ... 2
---4--- : Other solutions (4 Moves) ...... 2
------- : Positions evaluated ............ 642
  ---   :
  -5-   :

X-LUR 5-U 4-UL X-D
5-U X-LUR 4-UL X-D

  1--   : Problem No. 2
  --2   :
-3----- : Solutions (4 Moves, 7 Steps) ... 2
X--4--- : Other solutions (4 Moves) ...... 2
------- : Positions evaluated ............ 697
  ---   :
  -5-   :

X-RUR 5-U 4-UL X-D
5-U X-RUR 4-UL X-D

  1--   : Problem No. 2
  --2   :
-3----- : Solutions (4 Moves, 7 Steps) ... 2
-X-4--- : Other solutions (4 Moves) ...... 2
------- : Positions evaluated ............ 712
  ---   :
  -5-   :

X-RUR 5-U 4-UL X-D
5-U X-RUR 4-UL X-D

  1--   : Problem No. 2
  --2   :
-3----- : Solutions (4 Moves, 6 Steps) ... 2
--X4--- : Other solutions (4 Moves) ...... 2
------- : Positions evaluated ............ 687
  ---   :
  -5-   :

X-UR 5-U 4-UL X-D
5-U X-UR 4-UL X-D

  1--   : Problem No. 2
  --2   :
-3----- : Solutions (4 Moves, 8 Steps) ... 2
---4X-- : Other solutions (4 Moves) ...... 2
------- : Positions evaluated ............ 717
  ---   :
  -5-   :

X-ULUR 5-U 4-UL X-D
5-U X-ULUR 4-UL X-D

  1--   : Problem No. 2
  --2   :
-3----- : Solutions (4 Moves, 9 Steps) ... 2
---4-X- : Other solutions (4 Moves) ...... 2
------- : Positions evaluated ............ 794
  ---   :
  -5-   :

X-LULUR 5-U 4-UL X-D
5-U X-LULUR 4-UL X-D

  1--   : Problem No. 2
  --2   :
-3----- : Solutions (4 Moves, 9 Steps) ... 2
---4--X : Other solutions (4 Moves) ...... 2
------- : Positions evaluated ............ 727
  ---   :
  -5-   :

X-LULUR 5-U 4-UL X-D
5-U X-LULUR 4-UL X-D

  1--   : Problem No. 2
  --2   :
-3----- : Solutions (4 Moves, 7 Steps) ... 1
---4--- : Other solutions (4 Moves) ...... 1
X------ : Positions evaluated ............ 38
  ---   :
  -5-   :

5-U X-RUR 4-UL X-D

  1--   : Problem No. 2
  --2   :
-3----- : Solutions (4 Moves, 7 Steps) ... 1
---4--- : Other solutions (4 Moves) ...... 9
-X----- : Positions evaluated ............ 1,097
  ---   :
  -5-   :

5-U X-RUR 4-UL X-D

  1--   : Problem No. 2
  --2   :
-3----- : Solutions (4 Moves, 6 Steps) ... 2
---4--- : Other solutions (4 Moves) ...... 2
--X---- : Positions evaluated ............ 687
  ---   :
  -5-   :

X-UR 5-U 4-UL X-D
5-U X-UR 4-UL X-D

  1--   : Problem No. 2
  --2   :
-3----- : Solutions ...................... None
---4--- :
---X--- : Positions evaluated ............ 4
  ---   :
  -5-   :

  1--   : Problem No. 2
  --2   :
-3----- : Solutions (4 Moves, 8 Steps) ... 2
---4--- : Other solutions (4 Moves) ...... 2
----X-- : Positions evaluated ............ 682
  ---   :
  -5-   :

X-ULUR 5-U 4-UL X-D
5-U X-ULUR 4-UL X-D

  1--   : Problem No. 2
  --2   :
-3----- : Solutions (4 Moves, 9 Steps) ... 1
---4--- : Other solutions (4 Moves) ...... 1
-----X- : Positions evaluated ............ 37
  ---   :
  -5-   :

5-U X-LULUR 4-UL X-D

  1--   : Problem No. 2
  --2   :
-3----- : Solutions (4 Moves, 9 Steps) ... 1
---4--- : Other solutions (4 Moves) ...... 1
------X : Positions evaluated ............ 37
  ---   :
  -5-   :

5-U X-LULUR 4-UL X-D

  1--   : Problem No. 2
  --2   :
-3----- : Solutions (4 Moves, 6 Steps) ... 2
---4--- : Other solutions (4 Moves) ...... 2
------- : Positions evaluated ............ 687
  X--   :
  -5-   :

X-UR 5-U 4-UL X-D
5-U X-UR 4-UL X-D

  1--   : Problem No. 2
  --2   :
-3----- : Solutions ...................... None
---4--- :
------- : Positions evaluated ............ 4
  -X-   :
  -5-   :

  1--   : Problem No. 2
  --2   :
-3----- : Solutions (4 Moves, 8 Steps) ... 2
---4--- : Other solutions (4 Moves) ...... 2
------- : Positions evaluated ............ 680
  --X   :
  -5-   :

X-ULUR 5-U 4-UL X-D
5-U X-ULUR 4-UL X-D

  1--   : Problem No. 2
  --2   :
-3----- : Solutions (4 Moves, 6 Steps) ... 2
---4--- : Other solutions (4 Moves) ...... 2
------- : Positions evaluated ............ 687
  ---   :
  X5-   :

X-UR 5-U 4-UL X-D
5-U X-UR 4-UL X-D

  1--   : Problem No. 2
  --2   :
-3----- : Solutions (4 Moves, 8 Steps) ... 2
---4--- : Other solutions (4 Moves) ...... 2
------- : Positions evaluated ............ 680
  ---   :
  -5X   :

X-ULUR 5-U 4-UL X-D
5-U X-ULUR 4-UL X-D

  1X-   : Problem No. 3
  --2   :
--3---- : Solutions (3 Moves, 5 Steps) ... 2
---4--- : Other solutions (3 Moves) ...... 0
------- : Positions evaluated ............ 342
  ---   :
  -5-   :

4-D 1-DRD X-D
4-D 3-URD X-D

  1-X   : Problem No. 3
  --2   :
--3---- : Solutions (3 Moves, 6 Steps) ... 1
---4--- : Other solutions (3 Moves) ...... 0
------- : Positions evaluated ............ 622
  ---   :
  -5-   :

4-D 3-URD X-LD

  1--   : Problem No. 3
  X-2   :
--3---- : Solutions ...................... None
---4--- :
------- : Positions evaluated ............ 299
  ---   :
  -5-   :

  1--   : Problem No. 3
  -X2   :
--3---- : Solutions ...................... None
---4--- :
------- : Positions evaluated ............ 255
  ---   :
  -5-   :

  1--   : Problem No. 3
  --2   :
X-3---- : Solutions (5 Moves, 9 Steps) ... 6
---4--- : Other solutions (5 Moves) ...... 0
------- : Positions evaluated ............ 1,231
  ---   :
  -5-   :

3-URD X-RUR 4-D 3-D X-D
3-URD X-RU 4-D 3-D X-RD
3-URD X-R 4-D 3-D X-URD
3-URD 4-D X-RUR 3-D X-D
3-URD 4-D X-RU 3-D X-RD
3-URD 4-D X-R 3-D X-URD

  1--   : Problem No. 3
  --2   :
-X3---- : Solutions (5 Moves, 9 Steps) ... 6
---4--- : Other solutions (5 Moves) ...... 0
------- : Positions evaluated ............ 389
  ---   :
  -5-   :

3-URD X-RUR 4-D 3-D X-D
3-URD X-RU 4-D 3-D X-RD
3-URD X-R 4-D 3-D X-URD
3-URD 4-D X-RUR 3-D X-D
3-URD 4-D X-RU 3-D X-RD
3-URD 4-D X-R 3-D X-URD

  1--   : Problem No. 3
  --2   :
--3X--- : Solutions ...................... None
---4--- :
------- : Positions evaluated ............ 96
  ---   :
  -5-   :

  1--   : Problem No. 3
  --2   :
--3-X-- : Solutions (3 Moves, 6 Steps) ... 1
---4--- : Other solutions (3 Moves) ...... 0
------- : Positions evaluated ............ 354
  ---   :
  -5-   :

4-D 1-DRD X-LD

  1--   : Problem No. 3
  --2   :
--3--X- : Solutions (3 Moves, 6 Steps) ... 1
---4--- : Other solutions (3 Moves) ...... 0
------- : Positions evaluated ............ 505
  ---   :
  -5-   :

4-D 1-DRD X-LD

  1--   : Problem No. 3
  --2   :
--3---X : Solutions (3 Moves, 6 Steps) ... 1
---4--- : Other solutions (3 Moves) ...... 0
------- : Positions evaluated ............ 520
  ---   :
  -5-   :

4-D 1-DRD X-LD

  1--   : Problem No. 3
  --2   :
--3---- : Solutions (4 Moves, 8 Steps) ... 1
X--4--- : Other solutions (4 Moves) ...... 0
------- : Positions evaluated ............ 836
  ---   :
  -5-   :

X-R 4-D 3-URD X-URD

  1--   : Problem No. 3
  --2   :
--3---- : Solutions (4 Moves, 8 Steps) ... 1
-X-4--- : Other solutions (4 Moves) ...... 0
------- : Positions evaluated ............ 941
  ---   :
  -5-   :

X-R 4-D 3-URD X-URD

  1--   : Problem No. 3
  --2   :
--3---- : Solutions (3 Moves, 7 Steps) ... 1
--X4--- : Other solutions (3 Moves) ...... 0
------- : Positions evaluated ............ 278
  ---   :
  -5-   :

4-D 3-URD X-URD

  1--   : Problem No. 3
  --2   :
--3---- : Solutions (3 Moves, 7 Steps) ... 1
---4X-- : Other solutions (3 Moves) ...... 0
------- : Positions evaluated ............ 970
  ---   :
  -5-   :

4-D 1-DRD X-ULD

  1--   : Problem No. 3
  --2   :
--3---- : Solutions (4 Moves, 8 Steps) ... 2
---4-X- : Other solutions (4 Moves) ...... 0
------- : Positions evaluated ............ 1,867
  ---   :
  -5-   :

X-LU 4-D 1-DRD X-LD
X-L 4-D 1-DRD X-ULD

  1--   : Problem No. 3
  --2   :
--3---- : Solutions (4 Moves, 8 Steps) ... 2
---4--X : Other solutions (4 Moves) ...... 0
------- : Positions evaluated ............ 1,432
  ---   :
  -5-   :

X-LU 4-D 1-DRD X-LD
X-L 4-D 1-DRD X-ULD

  1--   : Problem No. 3
  --2   :
--3---- : Solutions (3 Moves, 8 Steps) ... 1
---4--- : Other solutions (3 Moves) ...... 0
X------ : Positions evaluated ............ 434
  ---   :
  -5-   :

4-D 3-URD X-RURD

  1--   : Problem No. 3
  --2   :
--3---- : Solutions (3 Moves, 8 Steps) ... 1
---4--- : Other solutions (3 Moves) ...... 0
-X----- : Positions evaluated ............ 457
  ---   :
  -5-   :

4-D 3-URD X-RURD

  1--   : Problem No. 3
  --2   :
--3---- : Solutions (3 Moves, 7 Steps) ... 1
---4--- : Other solutions (3 Moves) ...... 0
--X---- : Positions evaluated ............ 838
  ---   :
  -5-   :

4-D 3-URD X-URD

  1--   : Problem No. 3
  --2   :
--3---- : Solutions (3 Moves, 4 Steps) ... 2
---4--- : Other solutions (3 Moves) ...... 0
---X--- : Positions evaluated ............ 162
  ---   :
  -5-   :

1-DR 4-U X-U - Not Sig (5)
3-UR 4-U X-U - Not Sig (5)

  1--   : Problem No. 3
  --2   :
--3---- : Solutions (3 Moves, 7 Steps) ... 1
---4--- : Other solutions (3 Moves) ...... 0
----X-- : Positions evaluated ............ 848
  ---   :
  -5-   :

4-D 1-DRD X-ULD

  1--   : Problem No. 3
  --2   :
--3---- : Solutions (3 Moves, 8 Steps) ... 1
---4--- : Other solutions (3 Moves) ...... 0
-----X- : Positions evaluated ............ 299
  ---   :
  -5-   :

4-D 1-DRD X-LULD

  1--   : Problem No. 3
  --2   :
--3---- : Solutions (3 Moves, 8 Steps) ... 1
---4--- : Other solutions (3 Moves) ...... 0
------X : Positions evaluated ............ 264
  ---   :
  -5-   :

4-D 1-DRD X-LULD

  1--   : Problem No. 3
  --2   :
--3---- : Solutions (3 Moves, 7 Steps) ... 1
---4--- : Other solutions (3 Moves) ...... 0
------- : Positions evaluated ............ 838
  X--   :
  -5-   :

4-D 3-URD X-URD

  1--   : Problem No. 3
  --2   :
--3---- : Solutions (3 Moves, 4 Steps) ... 2
---4--- : Other solutions (3 Moves) ...... 0
------- : Positions evaluated ............ 163
  -X-   :
  -5-   :

1-DR 4-U X-U - Not Sig (5)
3-UR 4-U X-U - Not Sig (5)

  1--   : Problem No. 3
  --2   :
--3---- : Solutions (3 Moves, 7 Steps) ... 1
---4--- : Other solutions (3 Moves) ...... 0
------- : Positions evaluated ............ 794
  --X   :
  -5-   :

4-D 1-DRD X-ULD

  1--   : Problem No. 3
  --2   :
--3---- : Solutions (3 Moves, 7 Steps) ... 1
---4--- : Other solutions (3 Moves) ...... 0
------- : Positions evaluated ............ 781
  ---   :
  X5-   :

4-D 3-URD X-URD

  1--   : Problem No. 3
  --2   :
--3---- : Solutions (3 Moves, 7 Steps) ... 1
---4--- : Other solutions (3 Moves) ...... 0
------- : Positions evaluated ............ 754
  ---   :
  -5X   :

4-D 1-DRD X-ULD

Figure 5 - Problem No. 1

Configurations ......................... 171
Configurations with solutions .......... 171
  With all UFOs significant ............ 146
  With insignificant UFOs .............. 25

Most moves for minimum solution ........ 7
Most steps for minimum solution ........ 16
Most solutions ......................... 6

                  Steps...
Moves  Count....  Min  Max
-----  ---------  ---  ---
    3        110    4   16
    4         45    5   11
    5          2   10   12
    6         13    8   15
    7          1   13   13

12XY- : Problem No. 1
---3- :
4---- : Solutions (3 Moves, 6 Steps) ... 2
----- : Other solutions (3 Moves) ...... 0
--5-- : Positions evaluated ............ 362

1-DRD X-D Y-LD
4-URD X-D Y-LD

12X-Y : Problem No. 1
---3- :
4---- : Solutions (3 Moves, 6 Steps) ... 2
----- : Other solutions (3 Moves) ...... 0
--5-- : Positions evaluated ............ 582

1-DRD X-D Y-LD
4-URD X-D Y-LD

12X-- : Problem No. 1
Y--3- :
4---- : Solutions (4 Moves, 6 Steps) ... 4
----- : Other solutions (4 Moves) ...... 0
--5-- : Positions evaluated ............ 201

X-D Y-RD 1-DR X-U - Not Sig (2)
X-D Y-RD 4-UR X-U - Not Sig (2)
Y-RD X-D 1-DR Y-U - Not Sig (2)
Y-RD X-D 4-UR Y-U - Not Sig (2)

12X-- : Problem No. 1
-Y-3- :
4---- : Solutions (4 Moves, 6 Steps) ... 4
----- : Other solutions (4 Moves) ...... 0
--5-- : Positions evaluated ............ 290

X-D Y-RD 1-DR X-U - Not Sig (2)
X-D Y-RD 4-UR X-U - Not Sig (2)
Y-RD X-D 1-DR Y-U - Not Sig (2)
Y-RD X-D 4-UR Y-U - Not Sig (2)

12X-- : Problem No. 1
--Y3- :
4---- : Solutions (4 Moves, 5 Steps) ... 2
----- : Other solutions (4 Moves) ...... 0
--5-- : Positions evaluated ............ 227

Y-D X-D 1-DR Y-U - Not Sig (2)
Y-D X-D 4-UR Y-U - Not Sig (2)

12X-- : Problem No. 1
---3Y :
4---- : Solutions (6 Moves, 11 Steps) .. 1
----- : Other solutions (6 Moves) ...... 0
--5-- : Positions evaluated ............ 208

X-D 1-DRDLU 3-L X-U 3-D Y-LD

12X-- : Problem No. 1
---3- :
4Y--- : Solutions (3 Moves, 7 Steps) ... 4
----- : Other solutions (3 Moves) ...... 0
--5-- : Positions evaluated ............ 648

1-DRD X-D Y-URD
1-DRD Y-URD X-D
4-URD X-D Y-URD
4-URD Y-URD X-D

12X-- : Problem No. 1
---3- :
4--Y- : Solutions (3 Moves, 8 Steps) ... 2
----- : Other solutions (3 Moves) ...... 0
--5-- : Positions evaluated ............ 816

1-DRD X-D Y-LURD
1-DRD Y-LURD X-D

12X-- : Problem No. 1
---3- :
4---Y : Solutions (3 Moves, 8 Steps) ... 2
----- : Other solutions (3 Moves) ...... 0
--5-- : Positions evaluated ............ 878

1-DRD X-D Y-LURD
1-DRD Y-LURD X-D

12X-- : Problem No. 1
---3- :
4---- : Solutions (3 Moves, 7 Steps) ... 2
Y---- : Other solutions (3 Moves) ...... 4
--5-- : Positions evaluated ............ 3,322

4-URD X-D Y-URD - Not Sig (2)
4-URD Y-URD X-D - Not Sig (2)

12X-- : Problem No. 1
---3- :
4---- : Solutions (3 Moves, 7 Steps) ... 4
-Y--- : Other solutions (3 Moves) ...... 0
--5-- : Positions evaluated ............ 578

1-DRD X-D Y-URD
1-DRD Y-URD X-D
4-URD X-D Y-URD
4-URD Y-URD X-D

12X-- : Problem No. 1
---3- :
4---- : Solutions (3 Moves, 4 Steps) ... 2
--Y-- : Other solutions (3 Moves) ...... 0
--5-- : Positions evaluated ............ 137

X-D 1-DR Y-U - Not Sig (2,5)
X-D 4-UR Y-U - Not Sig (2,5)

12X-- : Problem No. 1
---3- :
4---- : Solutions (3 Moves, 9 Steps) ... 2
---Y- : Other solutions (3 Moves) ...... 0
--5-- : Positions evaluated ............ 1,096

1-DRD X-D Y-ULURD
1-DRD Y-ULURD X-D

12X-- : Problem No. 1
---3- :
4---- : Solutions (3 Moves, 10 Steps) .. 2
----Y : Other solutions (3 Moves) ...... 0
--5-- : Positions evaluated ............ 7,367

1-DRD X-D Y-LULURD
1-DRD Y-LULURD X-D

12X-- : Problem No. 1
---3- :
4---- : Solutions (3 Moves, 7 Steps) ... 2
----- : Other solutions (3 Moves) ...... 6
Y-5-- : Positions evaluated ............ 3,365

4-URD X-D Y-URD - Not Sig (2)
4-URD Y-URD X-D - Not Sig (2)

12X-- : Problem No. 1
---3- :
4---- : Solutions (3 Moves, 7 Steps) ... 4
----- : Other solutions (3 Moves) ...... 0
-Y5-- : Positions evaluated ............ 587

1-DRD X-D Y-URD
1-DRD Y-URD X-D
4-URD X-D Y-URD
4-URD Y-URD X-D

12X-- : Problem No. 1
---3- :
4---- : Solutions (3 Moves, 9 Steps) ... 2
----- : Other solutions (3 Moves) ...... 0
--5Y- : Positions evaluated ............ 1,096

1-DRD X-D Y-ULURD
1-DRD Y-ULURD X-D

12X-- : Problem No. 1
---3- :
4---- : Solutions (3 Moves, 10 Steps) .. 2
----- : Other solutions (3 Moves) ...... 0
--5-Y : Positions evaluated ............ 1,422

1-DRD X-D Y-LULURD
1-DRD Y-LULURD X-D

12-XY : Problem No. 1
---3- :
4---- : Solutions (3 Moves, 7 Steps) ... 2
----- : Other solutions (3 Moves) ...... 0
--5-- : Positions evaluated ............ 482

1-DRD X-LD Y-LD
4-URD X-LD Y-LD

12-X- : Problem No. 1
Y--3- :
4---- : Solutions (4 Moves, 7 Steps) ... 4
----- : Other solutions (4 Moves) ...... 0
--5-- : Positions evaluated ............ 715

X-LD Y-RD 1-DR X-U
X-LD Y-RD 4-UR X-U
Y-RD X-LD 1-DR Y-U
Y-RD X-LD 4-UR Y-U

12-X- : Problem No. 1
-Y-3- :
4---- : Solutions (4 Moves, 7 Steps) ... 4
----- : Other solutions (4 Moves) ...... 0
--5-- : Positions evaluated ............ 1,178

X-LD Y-RD 1-DR X-U
X-LD Y-RD 4-UR X-U
Y-RD X-LD 1-DR Y-U
Y-RD X-LD 4-UR Y-U

12-X- : Problem No. 1
--Y3- :
4---- : Solutions (4 Moves, 6 Steps) ... 2
----- : Other solutions (4 Moves) ...... 0
--5-- : Positions evaluated ............ 907

Y-D X-LD 1-DR Y-U
Y-D X-LD 4-UR Y-U

12-X- : Problem No. 1
---3Y :
4---- : Solutions (6 Moves, 12 Steps) .. 1
----- : Other solutions (6 Moves) ...... 0
--5-- : Positions evaluated ............ 769

X-LD 1-DRDLU 3-L X-U 3-D Y-LD

12-X- : Problem No. 1
---3- :
4Y--- : Solutions (3 Moves, 8 Steps) ... 4
----- : Other solutions (3 Moves) ...... 0
--5-- : Positions evaluated ............ 1,644

1-DRD X-LD Y-URD
1-DRD Y-URD X-LD
4-URD X-LD Y-URD
4-URD Y-URD X-LD

12-X- : Problem No. 1
---3- :
4--Y- : Solutions (3 Moves, 9 Steps) ... 2
----- : Other solutions (3 Moves) ...... 0
--5-- : Positions evaluated ............ 2,102

1-DRD X-LD Y-LURD
1-DRD Y-LURD X-LD

12-X- : Problem No. 1
---3- :
4---Y : Solutions (3 Moves, 9 Steps) ... 2
----- : Other solutions (3 Moves) ...... 0
--5-- : Positions evaluated ............ 2,159

1-DRD X-LD Y-LURD
1-DRD Y-LURD X-LD

12-X- : Problem No. 1
---3- :
4---- : Solutions (3 Moves, 8 Steps) ... 2
Y---- : Other solutions (3 Moves) ...... 4
--5-- : Positions evaluated ............ 4,017

4-URD X-LD Y-URD
4-URD Y-URD X-LD

12-X- : Problem No. 1
---3- :
4---- : Solutions (3 Moves, 8 Steps) ... 4
-Y--- : Other solutions (3 Moves) ...... 0
--5-- : Positions evaluated ............ 1,497

1-DRD X-LD Y-URD
1-DRD Y-URD X-LD
4-URD X-LD Y-URD
4-URD Y-URD X-LD

12-X- : Problem No. 1
---3- :
4---- : Solutions (3 Moves, 5 Steps) ... 2
--Y-- : Other solutions (3 Moves) ...... 0
--5-- : Positions evaluated ............ 320

X-LD 1-DR Y-U - Not Sig (5)
X-LD 4-UR Y-U - Not Sig (5)

12-X- : Problem No. 1
---3- :
4---- : Solutions (3 Moves, 10 Steps) .. 2
---Y- : Other solutions (3 Moves) ...... 0
--5-- : Positions evaluated ............ 3,182

1-DRD X-LD Y-ULURD
1-DRD Y-ULURD X-LD

12-X- : Problem No. 1
---3- :
4---- : Solutions (3 Moves, 11 Steps) .. 2
----Y : Other solutions (3 Moves) ...... 0
--5-- : Positions evaluated ............ 8,928

1-DRD X-LD Y-LULURD
1-DRD Y-LULURD X-LD

12-X- : Problem No. 1
---3- :
4---- : Solutions (3 Moves, 8 Steps) ... 2
----- : Other solutions (3 Moves) ...... 6
Y-5-- : Positions evaluated ............ 5,733

4-URD X-LD Y-URD
4-URD Y-URD X-LD

12-X- : Problem No. 1
---3- :
4---- : Solutions (3 Moves, 8 Steps) ... 4
----- : Other solutions (3 Moves) ...... 0
-Y5-- : Positions evaluated ............ 1,492

1-DRD X-LD Y-URD
1-DRD Y-URD X-LD
4-URD X-LD Y-URD
4-URD Y-URD X-LD

12-X- : Problem No. 1
---3- :
4---- : Solutions (3 Moves, 10 Steps) .. 2
----- : Other solutions (3 Moves) ...... 0
--5Y- : Positions evaluated ............ 2,936

1-DRD X-LD Y-ULURD
1-DRD Y-ULURD X-LD

12-X- : Problem No. 1
---3- :
4---- : Solutions (3 Moves, 11 Steps) .. 2
----- : Other solutions (3 Moves) ...... 0
--5-Y : Positions evaluated ............ 3,802

1-DRD X-LD Y-LULURD
1-DRD Y-LULURD X-LD

12--X : Problem No. 1
Y--3- :
4---- : Solutions (4 Moves, 7 Steps) ... 4
----- : Other solutions (4 Moves) ...... 0
--5-- : Positions evaluated ............ 514

X-LD Y-RD 1-DR X-U
X-LD Y-RD 4-UR X-U
Y-RD X-LD 1-DR Y-U
Y-RD X-LD 4-UR Y-U

12--X : Problem No. 1
-Y-3- :
4---- : Solutions (4 Moves, 7 Steps) ... 4
----- : Other solutions (4 Moves) ...... 0
--5-- : Positions evaluated ............ 839

X-LD Y-RD 1-DR X-U
X-LD Y-RD 4-UR X-U
Y-RD X-LD 1-DR Y-U
Y-RD X-LD 4-UR Y-U

12--X : Problem No. 1
--Y3- :
4---- : Solutions (4 Moves, 6 Steps) ... 2
----- : Other solutions (4 Moves) ...... 0
--5-- : Positions evaluated ............ 779

Y-D X-LD 1-DR Y-U
Y-D X-LD 4-UR Y-U

12--X : Problem No. 1
---3Y :
4---- : Solutions (6 Moves, 12 Steps) .. 1
----- : Other solutions (6 Moves) ...... 0
--5-- : Positions evaluated ............ 478

X-LD 1-DRDLU 3-L X-U 3-D Y-LD

12--X : Problem No. 1
---3- :
4Y--- : Solutions (3 Moves, 8 Steps) ... 4
----- : Other solutions (3 Moves) ...... 0
--5-- : Positions evaluated ............ 1,402

1-DRD X-LD Y-URD
1-DRD Y-URD X-LD
4-URD X-LD Y-URD
4-URD Y-URD X-LD

12--X : Problem No. 1
---3- :
4--Y- : Solutions (3 Moves, 9 Steps) ... 2
----- : Other solutions (3 Moves) ...... 0
--5-- : Positions evaluated ............ 1,694

1-DRD X-LD Y-LURD
1-DRD Y-LURD X-LD

12--X : Problem No. 1
---3- :
4---Y : Solutions (3 Moves, 9 Steps) ... 2
----- : Other solutions (3 Moves) ...... 0
--5-- : Positions evaluated ............ 2,227

1-DRD X-LD Y-LURD
1-DRD Y-LURD X-LD

12--X : Problem No. 1
---3- :
4---- : Solutions (3 Moves, 8 Steps) ... 2
Y---- : Other solutions (3 Moves) ...... 4
--5-- : Positions evaluated ............ 3,838

4-URD X-LD Y-URD
4-URD Y-URD X-LD

12--X : Problem No. 1
---3- :
4---- : Solutions (3 Moves, 8 Steps) ... 4
-Y--- : Other solutions (3 Moves) ...... 0
--5-- : Positions evaluated ............ 1,267

1-DRD X-LD Y-URD
1-DRD Y-URD X-LD
4-URD X-LD Y-URD
4-URD Y-URD X-LD

12--X : Problem No. 1
---3- :
4---- : Solutions (3 Moves, 5 Steps) ... 2
--Y-- : Other solutions (3 Moves) ...... 0
--5-- : Positions evaluated ............ 231

X-LD 1-DR Y-U - Not Sig (5)
X-LD 4-UR Y-U - Not Sig (5)

12--X : Problem No. 1
---3- :
4---- : Solutions (3 Moves, 10 Steps) .. 2
---Y- : Other solutions (3 Moves) ...... 0
--5-- : Positions evaluated ............ 2,443

1-DRD X-LD Y-ULURD
1-DRD Y-ULURD X-LD

12--X : Problem No. 1
---3- :
4---- : Solutions (3 Moves, 11 Steps) .. 2
----Y : Other solutions (3 Moves) ...... 1
--5-- : Positions evaluated ............ 11,091

1-DRD X-LD Y-LULURD
1-DRD Y-LULURD X-LD

12--X : Problem No. 1
---3- :
4---- : Solutions (3 Moves, 8 Steps) ... 2
----- : Other solutions (3 Moves) ...... 6
Y-5-- : Positions evaluated ............ 5,147

4-URD X-LD Y-URD
4-URD Y-URD X-LD

12--X : Problem No. 1
---3- :
4---- : Solutions (3 Moves, 8 Steps) ... 4
----- : Other solutions (3 Moves) ...... 0
-Y5-- : Positions evaluated ............ 1,262

1-DRD X-LD Y-URD
1-DRD Y-URD X-LD
4-URD X-LD Y-URD
4-URD Y-URD X-LD

12--X : Problem No. 1
---3- :
4---- : Solutions (3 Moves, 10 Steps) .. 2
----- : Other solutions (3 Moves) ...... 0
--5Y- : Positions evaluated ............ 2,308

1-DRD X-LD Y-ULURD
1-DRD Y-ULURD X-LD

12--X : Problem No. 1
---3- :
4---- : Solutions (3 Moves, 11 Steps) .. 2
----- : Other solutions (3 Moves) ...... 1
--5-Y : Positions evaluated ............ 4,539

1-DRD X-LD Y-LULURD
1-DRD Y-LULURD X-LD

12--- : Problem No. 1
XY-3- :
4---- : Solutions (4 Moves, 7 Steps) ... 2
----- : Other solutions (4 Moves) ...... 0
--5-- : Positions evaluated ............ 63

Y-RD X-RD 1-DR Y-U - Not Sig (2)
Y-RD X-RD 4-UR Y-U - Not Sig (2)

12--- : Problem No. 1
X-Y3- :
4---- : Solutions (4 Moves, 6 Steps) ... 2
----- : Other solutions (4 Moves) ...... 0
--5-- : Positions evaluated ............ 144

Y-D X-RD 1-DR Y-U - Not Sig (2)
Y-D X-RD 4-UR Y-U - Not Sig (2)

12--- : Problem No. 1
X--3Y :
4---- : Solutions (6 Moves, 12 Steps) .. 1
----- : Other solutions (6 Moves) ...... 0
--5-- : Positions evaluated ............ 193

X-RD 1-DRDLU 3-L X-U 3-D Y-LD

12--- : Problem No. 1
X--3- :
4Y--- : Solutions (4 Moves, 8 Steps) ... 4
----- : Other solutions (4 Moves) ...... 0
--5-- : Positions evaluated ............ 329

X-RD Y-URD 1-DR X-U
X-RD Y-URD 4-UR X-U
Y-URD X-RD 1-DR Y-U
Y-URD X-RD 4-UR Y-U

12--- : Problem No. 1
X--3- :
4--Y- : Solutions (4 Moves, 9 Steps) ... 4
----- : Other solutions (4 Moves) ...... 0
--5-- : Positions evaluated ............ 494

X-RD Y-LURD 1-DR X-U
X-RD Y-LURD 4-UR X-U
Y-LURD X-RD 1-DR Y-U
Y-LURD X-RD 4-UR Y-U

12--- : Problem No. 1
X--3- :
4---Y : Solutions (4 Moves, 9 Steps) ... 4
----- : Other solutions (4 Moves) ...... 0
--5-- : Positions evaluated ............ 576

X-RD Y-LURD 1-DR X-U
X-RD Y-LURD 4-UR X-U
Y-LURD X-RD 1-DR Y-U
Y-LURD X-RD 4-UR Y-U

12--- : Problem No. 1
X--3- :
4---- : Solutions (4 Moves, 9 Steps) ... 2
Y---- : Other solutions (4 Moves) ...... 4
--5-- : Positions evaluated ............ 1,334

X-RD Y-RURD 1-DR X-U
X-RD Y-RURD 4-UR X-U

12--- : Problem No. 1
X--3- :
4---- : Solutions (4 Moves, 8 Steps) ... 4
-Y--- : Other solutions (4 Moves) ...... 0
--5-- : Positions evaluated ............ 372

X-RD Y-URD 1-DR X-U
X-RD Y-URD 4-UR X-U
Y-URD X-RD 1-DR Y-U
Y-URD X-RD 4-UR Y-U

12--- : Problem No. 1
X--3- :
4---- : Solutions (3 Moves, 5 Steps) ... 2
--Y-- : Other solutions (3 Moves) ...... 0
--5-- : Positions evaluated ............ 47

X-RD 1-DR Y-U - Not Sig (2,5)
X-RD 4-UR Y-U - Not Sig (2,5)

12--- : Problem No. 1
X--3- :
4---- : Solutions (4 Moves, 10 Steps) .. 4
---Y- : Other solutions (4 Moves) ...... 0
--5-- : Positions evaluated ............ 796

X-RD Y-ULURD 1-DR X-U
X-RD Y-ULURD 4-UR X-U
Y-ULURD X-RD 1-DR Y-U
Y-ULURD X-RD 4-UR Y-U

12--- : Problem No. 1
X--3- :
4---- : Solutions (4 Moves, 11 Steps) .. 2
----Y : Other solutions (4 Moves) ...... 5
--5-- : Positions evaluated ............ 4,953

X-RD Y-LULURD 1-DR X-U
X-RD Y-LULURD 4-UR X-U

12--- : Problem No. 1
X--3- :
4---- : Solutions (4 Moves, 9 Steps) ... 4
----- : Other solutions (4 Moves) ...... 2
Y-5-- : Positions evaluated ............ 3,189

X-RD Y-RURD 1-DR X-U
X-RD Y-RURD 4-UR X-U
Y-RURD X-RD 1-DR Y-U
Y-RURD X-RD 4-UR Y-U

12--- : Problem No. 1
X--3- :
4---- : Solutions (4 Moves, 8 Steps) ... 4
----- : Other solutions (4 Moves) ...... 0
-Y5-- : Positions evaluated ............ 416

X-RD Y-URD 1-DR X-U
X-RD Y-URD 4-UR X-U
Y-URD X-RD 1-DR Y-U
Y-URD X-RD 4-UR Y-U

12--- : Problem No. 1
X--3- :
4---- : Solutions (4 Moves, 10 Steps) .. 4
----- : Other solutions (4 Moves) ...... 0
--5Y- : Positions evaluated ............ 796

X-RD Y-ULURD 1-DR X-U
X-RD Y-ULURD 4-UR X-U
Y-ULURD X-RD 1-DR Y-U
Y-ULURD X-RD 4-UR Y-U

12--- : Problem No. 1
X--3- :
4---- : Solutions (4 Moves, 11 Steps) .. 4
----- : Other solutions (4 Moves) ...... 0
--5-Y : Positions evaluated ............ 1,058

X-RD Y-LULURD 1-DR X-U
X-RD Y-LULURD 4-UR X-U
Y-LULURD X-RD 1-DR Y-U
Y-LULURD X-RD 4-UR Y-U

12--- : Problem No. 1
-XY3- :
4---- : Solutions (4 Moves, 6 Steps) ... 2
----- : Other solutions (4 Moves) ...... 0
--5-- : Positions evaluated ............ 93

Y-D X-RD 1-DR Y-U - Not Sig (2)
Y-D X-RD 4-UR Y-U - Not Sig (2)

12--- : Problem No. 1
-X-3Y :
4---- : Solutions (5 Moves, 12 Steps) .. 1
----- : Other solutions (5 Moves) ...... 0
--5-- : Positions evaluated ............ 447

3-LD X-R 1-DRDLU X-LD Y-LD

12--- : Problem No. 1
-X-3- :
4Y--- : Solutions (4 Moves, 8 Steps) ... 2
----- : Other solutions (4 Moves) ...... 0
--5-- : Positions evaluated ............ 307

X-RD Y-URD 1-DR X-U
X-RD Y-URD 4-UR X-U

12--- : Problem No. 1
-X-3- :
4--Y- : Solutions (4 Moves, 9 Steps) ... 2
----- : Other solutions (4 Moves) ...... 0
--5-- : Positions evaluated ............ 528

X-RD Y-LURD 1-DR X-U
X-RD Y-LURD 4-UR X-U

12--- : Problem No. 1
-X-3- :
4---Y : Solutions (4 Moves, 9 Steps) ... 2
----- : Other solutions (4 Moves) ...... 0
--5-- : Positions evaluated ............ 647

X-RD Y-LURD 1-DR X-U
X-RD Y-LURD 4-UR X-U

12--- : Problem No. 1
-X-3- :
4---- : Solutions (4 Moves, 9 Steps) ... 2
Y---- : Other solutions (4 Moves) ...... 4
--5-- : Positions evaluated ............ 858

X-RD Y-RURD 1-DR X-U
X-RD Y-RURD 4-UR X-U

12--- : Problem No. 1
-X-3- :
4---- : Solutions (4 Moves, 8 Steps) ... 2
-Y--- : Other solutions (4 Moves) ...... 2
--5-- : Positions evaluated ............ 765

X-RD Y-URD 1-DR X-U
X-RD Y-URD 4-UR X-U

12--- : Problem No. 1
-X-3- :
4---- : Solutions (3 Moves, 5 Steps) ... 2
--Y-- : Other solutions (3 Moves) ...... 0
--5-- : Positions evaluated ............ 67

X-RD 1-DR Y-U - Not Sig (2,5)
X-RD 4-UR Y-U - Not Sig (2,5)

12--- : Problem No. 1
-X-3- :
4---- : Solutions (4 Moves, 10 Steps) .. 2
---Y- : Other solutions (4 Moves) ...... 0
--5-- : Positions evaluated ............ 928

X-RD Y-ULURD 1-DR X-U
X-RD Y-ULURD 4-UR X-U

12--- : Problem No. 1
-X-3- :
4---- : Solutions (4 Moves, 11 Steps) .. 2
----Y : Other solutions (4 Moves) ...... 5
--5-- : Positions evaluated ............ 4,277

X-RD Y-LULURD 1-DR X-U
X-RD Y-LULURD 4-UR X-U

12--- : Problem No. 1
-X-3- :
4---- : Solutions (4 Moves, 9 Steps) ... 2
----- : Other solutions (4 Moves) ...... 2
Y-5-- : Positions evaluated ............ 4,013

X-RD Y-RURD 1-DR X-U
X-RD Y-RURD 4-UR X-U

12--- : Problem No. 1
-X-3- :
4---- : Solutions (4 Moves, 8 Steps) ... 2
----- : Other solutions (4 Moves) ...... 2
-Y5-- : Positions evaluated ............ 789

X-RD Y-URD 1-DR X-U
X-RD Y-URD 4-UR X-U

12--- : Problem No. 1
-X-3- :
4---- : Solutions (4 Moves, 10 Steps) .. 2
----- : Other solutions (4 Moves) ...... 0
--5Y- : Positions evaluated ............ 928

X-RD Y-ULURD 1-DR X-U
X-RD Y-ULURD 4-UR X-U

12--- : Problem No. 1
-X-3- :
4---- : Solutions (4 Moves, 11 Steps) .. 2
----- : Other solutions (4 Moves) ...... 0
--5-Y : Positions evaluated ............ 1,292

X-RD Y-LULURD 1-DR X-U
X-RD Y-LULURD 4-UR X-U

12--- : Problem No. 1
--X3Y :
4---- : Solutions (6 Moves, 8 Steps) ... 2
----- : Other solutions (6 Moves) ...... 1
--5-- : Positions evaluated ............ 303

1-DR X-D 3-L X-U 3-D Y-LD - Not Sig (2)
4-UR X-D 3-L X-U 3-D Y-LD - Not Sig (2)

12--- : Problem No. 1
--X3- :
4Y--- : Solutions (4 Moves, 7 Steps) ... 2
----- : Other solutions (4 Moves) ...... 0
--5-- : Positions evaluated ............ 343

X-D Y-URD 1-DR X-U
X-D Y-URD 4-UR X-U

12--- : Problem No. 1
--X3- :
4--Y- : Solutions (4 Moves, 8 Steps) ... 2
----- : Other solutions (4 Moves) ...... 0
--5-- : Positions evaluated ............ 548

X-D Y-LURD 1-DR X-U
X-D Y-LURD 4-UR X-U

12--- : Problem No. 1
--X3- :
4---Y : Solutions (4 Moves, 8 Steps) ... 2
----- : Other solutions (4 Moves) ...... 0
--5-- : Positions evaluated ............ 717

X-D Y-LURD 1-DR X-U
X-D Y-LURD 4-UR X-U

12--- : Problem No. 1
--X3- :
4---- : Solutions (4 Moves, 8 Steps) ... 2
Y---- : Other solutions (4 Moves) ...... 4
--5-- : Positions evaluated ............ 1,659

X-D Y-RURD 1-DR X-U
X-D Y-RURD 4-UR X-U

12--- : Problem No. 1
--X3- :
4---- : Solutions (4 Moves, 7 Steps) ... 2
-Y--- : Other solutions (4 Moves) ...... 0
--5-- : Positions evaluated ............ 518

X-D Y-URD 1-DR X-U
X-D Y-URD 4-UR X-U

12--- : Problem No. 1
--X3- :
4---- : Solutions (3 Moves, 4 Steps) ... 2
--Y-- : Other solutions (3 Moves) ...... 0
--5-- : Positions evaluated ............ 95

X-D 1-DR Y-U - Not Sig (2,5)
X-D 4-UR Y-U - Not Sig (2,5)

12--- : Problem No. 1
--X3- :
4---- : Solutions (4 Moves, 9 Steps) ... 2
---Y- : Other solutions (4 Moves) ...... 0
--5-- : Positions evaluated ............ 1,016

X-D Y-ULURD 1-DR X-U
X-D Y-ULURD 4-UR X-U

12--- : Problem No. 1
--X3- :
4---- : Solutions (4 Moves, 10 Steps) .. 2
----Y : Other solutions (4 Moves) ...... 5
--5-- : Positions evaluated ............ 5,228

X-D Y-LULURD 1-DR X-U
X-D Y-LULURD 4-UR X-U

12--- : Problem No. 1
--X3- :
4---- : Solutions (4 Moves, 8 Steps) ... 2
----- : Other solutions (4 Moves) ...... 2
Y-5-- : Positions evaluated ............ 3,840

X-D Y-RURD 1-DR X-U
X-D Y-RURD 4-UR X-U

12--- : Problem No. 1
--X3- :
4---- : Solutions (4 Moves, 7 Steps) ... 2
----- : Other solutions (4 Moves) ...... 0
-Y5-- : Positions evaluated ............ 584

X-D Y-URD 1-DR X-U
X-D Y-URD 4-UR X-U

12--- : Problem No. 1
--X3- :
4---- : Solutions (4 Moves, 9 Steps) ... 2
----- : Other solutions (4 Moves) ...... 0
--5Y- : Positions evaluated ............ 1,016

X-D Y-ULURD 1-DR X-U
X-D Y-ULURD 4-UR X-U

12--- : Problem No. 1
--X3- :
4---- : Solutions (4 Moves, 10 Steps) .. 2
----- : Other solutions (4 Moves) ...... 0
--5-Y : Positions evaluated ............ 1,269

X-D Y-LULURD 1-DR X-U
X-D Y-LULURD 4-UR X-U

12--- : Problem No. 1
---3X :
4Y--- : Solutions (6 Moves, 13 Steps) .. 2
----- : Other solutions (6 Moves) ...... 0
--5-- : Positions evaluated ............ 868

Y-URD 1-DRDLU 3-L Y-U 3-D X-LD
Y-U 3-LD Y-R 1-DRDLU Y-LD X-LD

12--- : Problem No. 1
---3X :
4--Y- : Solutions (6 Moves, 14 Steps) .. 2
----- : Other solutions (6 Moves) ...... 0
--5-- : Positions evaluated ............ 923

Y-LURD 1-DRDLU 3-L Y-U 3-D X-LD
Y-LU 3-LD Y-R 1-DRDLU Y-LD X-LD

12--- : Problem No. 1
---3X :
4---Y : Solutions (6 Moves, 14 Steps) .. 2
----- : Other solutions (6 Moves) ...... 0
--5-- : Positions evaluated ............ 972

Y-LURD 1-DRDLU 3-L Y-U 3-D X-LD
Y-LU 3-LD Y-R 1-DRDLU Y-LD X-LD

12--- : Problem No. 1
---3X :
4---- : Solutions (7 Moves, 13 Steps) .. 1
Y---- : Other solutions (7 Moves) ...... 3
--5-- : Positions evaluated ............ 4,268

4-URDL Y-URD 4-U 3-L Y-U 3-D X-LD

12--- : Problem No. 1
---3X :
4---- : Solutions (6 Moves, 13 Steps) .. 2
-Y--- : Other solutions (6 Moves) ...... 0
--5-- : Positions evaluated ............ 831

Y-URD 1-DRDLU 3-L Y-U 3-D X-LD
Y-U 3-LD Y-R 1-DRDLU Y-LD X-LD

12--- : Problem No. 1
---3X :
4---- : Solutions (5 Moves, 10 Steps) .. 1
--Y-- : Other solutions (5 Moves) ...... 0
--5-- : Positions evaluated ............ 112

1-DRDLU 3-L Y-U 3-D X-LD

12--- : Problem No. 1
---3X :
4---- : Solutions (6 Moves, 11 Steps) .. 6
---Y- : Other solutions (6 Moves) ...... 2
--5-- : Positions evaluated ............ 4,615

3-DL 1-DR Y-UL 2-D 1-LD X-LD
3-DL 1-DR Y-UL 3-U 1-LD X-LD
3-DL 1-DR 2-D Y-UL 1-LD X-LD
3-DL 4-UR Y-UL 2-D 4-LD X-LD
3-DL 4-UR Y-UL 3-U 4-LD X-LD
3-DL 4-UR 2-D Y-UL 4-LD X-LD

12--- : Problem No. 1
---3X :
4---- : Solutions (3 Moves, 14 Steps) .. 1
----Y : Other solutions (3 Moves) ...... 0
--5-- : Positions evaluated ............ 6,463

1-DRD X-DLURD Y-LULURD

12--- : Problem No. 1
---3X :
4---- : Solutions (6 Moves, 14 Steps) .. 4
----- : Other solutions (6 Moves) ...... 1
Y-5-- : Positions evaluated ............ 7,163

Y-RURD 1-DRDLU 3-L Y-U 3-D X-LD
Y-RU 3-LD Y-R 1-DRDLU Y-LD X-LD
1-DRD 4-D Y-RURD 1-LU 3-LD X-LD
4-URD 1-D Y-RURD 4-LU 3-LD X-LD

12--- : Problem No. 1
---3X :
4---- : Solutions (6 Moves, 13 Steps) .. 2
----- : Other solutions (6 Moves) ...... 0
-Y5-- : Positions evaluated ............ 931

Y-URD 1-DRDLU 3-L Y-U 3-D X-LD
Y-U 3-LD Y-R 1-DRDLU Y-LD X-LD

12--- : Problem No. 1
---3X :
4---- : Solutions (6 Moves, 15 Steps) .. 2
----- : Other solutions (6 Moves) ...... 0
--5Y- : Positions evaluated ............ 2,228

Y-ULURD 1-DRDLU 3-L Y-U 3-D X-LD
Y-ULU 3-LD Y-R 1-DRDLU Y-LD X-LD

12--- : Problem No. 1
---3X :
4---- : Solutions (3 Moves, 16 Steps) .. 1
----- : Other solutions (3 Moves) ...... 0
--5-Y : Positions evaluated ............ 3,833

1-DRD X-DLULURD Y-LULURD

12--- : Problem No. 1
---3- :
4X-Y- : Solutions (3 Moves, 7 Steps) ... 4
----- : Other solutions (3 Moves) ...... 3
--5-- : Positions evaluated ............ 617

Y-L 1-DRD X-URD
Y-L 4-URD X-URD
1-DRD Y-L X-URD
4-URD Y-L X-URD

12--- : Problem No. 1
---3- :
4X--Y : Solutions (3 Moves, 7 Steps) ... 4
----- : Other solutions (3 Moves) ...... 1
--5-- : Positions evaluated ............ 998

Y-L 1-DRD X-URD
Y-L 4-URD X-URD
1-DRD Y-L X-URD
4-URD Y-L X-URD

12--- : Problem No. 1
---3- :
4X--- : Solutions (3 Moves, 9 Steps) ... 2
Y---- : Other solutions (3 Moves) ...... 2
--5-- : Positions evaluated ............ 1,131

4-URD X-URD Y-URD
4-URD Y-URD X-URD

12--- : Problem No. 1
---3- :
4X--- : Solutions (3 Moves, 9 Steps) ... 2
-Y--- : Other solutions (3 Moves) ...... 0
--5-- : Positions evaluated ............ 521

1-DRD X-URD Y-URD
4-URD X-URD Y-URD

12--- : Problem No. 1
---3- :
4X--- : Solutions (3 Moves, 6 Steps) ... 2
--Y-- : Other solutions (3 Moves) ...... 0
--5-- : Positions evaluated ............ 163

X-URD 1-DR Y-U - Not Sig (5)
X-URD 4-UR Y-U - Not Sig (5)

12--- : Problem No. 1
---3- :
4X--- : Solutions (3 Moves, 8 Steps) ... 4
---Y- : Other solutions (3 Moves) ...... 1
--5-- : Positions evaluated ............ 1,193

Y-UL 1-DRD X-URD
Y-UL 4-URD X-URD
1-DRD Y-UL X-URD
4-URD Y-UL X-URD

12--- : Problem No. 1
---3- :
4X--- : Solutions (3 Moves, 9 Steps) ... 2
----Y : Other solutions (3 Moves) ...... 1
--5-- : Positions evaluated ............ 5,025

1-DRD Y-LUL X-URD
4-URD Y-LUL X-URD

12--- : Problem No. 1
---3- :
4X--- : Solutions (3 Moves, 9 Steps) ... 2
----- : Other solutions (3 Moves) ...... 3
Y-5-- : Positions evaluated ............ 4,825

4-URD X-URD Y-URD
4-URD Y-URD X-URD

12--- : Problem No. 1
---3- :
4X--- : Solutions (3 Moves, 9 Steps) ... 2
----- : Other solutions (3 Moves) ...... 0
-Y5-- : Positions evaluated ............ 1,105

1-DRD X-URD Y-URD
4-URD X-URD Y-URD

12--- : Problem No. 1
---3- :
4X--- : Solutions (3 Moves, 8 Steps) ... 4
----- : Other solutions (3 Moves) ...... 1
--5Y- : Positions evaluated ............ 1,193

Y-UL 1-DRD X-URD
Y-UL 4-URD X-URD
1-DRD Y-UL X-URD
4-URD Y-UL X-URD

12--- : Problem No. 1
---3- :
4X--- : Solutions (3 Moves, 9 Steps) ... 4
----- : Other solutions (3 Moves) ...... 1
--5-Y : Positions evaluated ............ 1,569

Y-LUL 1-DRD X-URD
Y-LUL 4-URD X-URD
1-DRD Y-LUL X-URD
4-URD Y-LUL X-URD

12--- : Problem No. 1
---3- :
4--XY : Solutions (3 Moves, 11 Steps) .. 1
----- : Other solutions (3 Moves) ...... 0
--5-- : Positions evaluated ............ 965

1-DRD X-LURD Y-LURD

12--- : Problem No. 1
---3- :
4--X- : Solutions (3 Moves, 11 Steps) .. 2
Y---- : Other solutions (3 Moves) ...... 0
--5-- : Positions evaluated ............ 1,986

1-DRD X-LURD Y-RURD
1-DRD Y-RURD X-LURD

12--- : Problem No. 1
---3- :
4--X- : Solutions (3 Moves, 10 Steps) .. 2
-Y--- : Other solutions (3 Moves) ...... 0
--5-- : Positions evaluated ............ 1,185

1-DRD X-LURD Y-URD
1-DRD Y-URD X-LURD

12--- : Problem No. 1
---3- :
4--X- : Solutions (3 Moves, 7 Steps) ... 2
--Y-- : Other solutions (3 Moves) ...... 0
--5-- : Positions evaluated ............ 176

X-LURD 1-DR Y-U - Not Sig (5)
X-LURD 4-UR Y-U - Not Sig (5)

12--- : Problem No. 1
---3- :
4--X- : Solutions (3 Moves, 12 Steps) .. 1
---Y- : Other solutions (3 Moves) ...... 0
--5-- : Positions evaluated ............ 1,246

1-DRD X-LURD Y-ULURD

12--- : Problem No. 1
---3- :
4--X- : Solutions (3 Moves, 13 Steps) .. 1
----Y : Other solutions (3 Moves) ...... 0
--5-- : Positions evaluated ............ 1,724

1-DRD X-LURD Y-LULURD

12--- : Problem No. 1
---3- :
4--X- : Solutions (3 Moves, 11 Steps) .. 2
----- : Other solutions (3 Moves) ...... 2
Y-5-- : Positions evaluated ............ 6,551

1-DRD X-LURD Y-RURD
1-DRD Y-RURD X-LURD

12--- : Problem No. 1
---3- :
4--X- : Solutions (3 Moves, 10 Steps) .. 2
----- : Other solutions (3 Moves) ...... 0
-Y5-- : Positions evaluated ............ 1,519

1-DRD X-LURD Y-URD
1-DRD Y-URD X-LURD

12--- : Problem No. 1
---3- :
4--X- : Solutions (3 Moves, 12 Steps) .. 1
----- : Other solutions (3 Moves) ...... 0
--5Y- : Positions evaluated ............ 1,852

1-DRD X-LURD Y-ULURD

12--- : Problem No. 1
---3- :
4--X- : Solutions (3 Moves, 13 Steps) .. 1
----- : Other solutions (3 Moves) ...... 0
--5-Y : Positions evaluated ............ 2,625

1-DRD X-LURD Y-LULURD

12--- : Problem No. 1
---3- :
4---X : Solutions (3 Moves, 11 Steps) .. 2
Y---- : Other solutions (3 Moves) ...... 0
--5-- : Positions evaluated ............ 1,578

1-DRD X-LURD Y-RURD
1-DRD Y-RURD X-LURD

12--- : Problem No. 1
---3- :
4---X : Solutions (3 Moves, 10 Steps) .. 2
-Y--- : Other solutions (3 Moves) ...... 0
--5-- : Positions evaluated ............ 1,254

1-DRD X-LURD Y-URD
1-DRD Y-URD X-LURD

12--- : Problem No. 1
---3- :
4---X : Solutions (3 Moves, 7 Steps) ... 2
--Y-- : Other solutions (3 Moves) ...... 0
--5-- : Positions evaluated ............ 210

X-LURD 1-DR Y-U - Not Sig (5)
X-LURD 4-UR Y-U - Not Sig (5)

12--- : Problem No. 1
---3- :
4---X : Solutions (3 Moves, 12 Steps) .. 2
---Y- : Other solutions (3 Moves) ...... 0
--5-- : Positions evaluated ............ 2,308

1-DRD X-LURD Y-ULURD
1-DRD Y-ULURD X-LURD

12--- : Problem No. 1
---3- :
4---X : Solutions (3 Moves, 13 Steps) .. 2
----Y : Other solutions (3 Moves) ...... 0
--5-- : Positions evaluated ............ 5,135

1-DRD X-LURD Y-LULURD
1-DRD Y-LULURD X-LURD

12--- : Problem No. 1
---3- :
4---X : Solutions (3 Moves, 11 Steps) .. 2
----- : Other solutions (3 Moves) ...... 2
Y-5-- : Positions evaluated ............ 6,314

1-DRD X-LURD Y-RURD
1-DRD Y-RURD X-LURD

12--- : Problem No. 1
---3- :
4---X : Solutions (3 Moves, 10 Steps) .. 2
----- : Other solutions (3 Moves) ...... 0
-Y5-- : Positions evaluated ............ 1,621

1-DRD X-LURD Y-URD
1-DRD Y-URD X-LURD

12--- : Problem No. 1
---3- :
4---X : Solutions (3 Moves, 12 Steps) .. 2
----- : Other solutions (3 Moves) ...... 0
--5Y- : Positions evaluated ............ 2,356

1-DRD X-LURD Y-ULURD
1-DRD Y-ULURD X-LURD

12--- : Problem No. 1
---3- :
4---X : Solutions (3 Moves, 13 Steps) .. 2
----- : Other solutions (3 Moves) ...... 2
--5-Y : Positions evaluated ............ 5,231

1-DRD X-LURD Y-LULURD
1-DRD Y-LULURD X-LURD

12--- : Problem No. 1
---3- :
4---- : Solutions (3 Moves, 9 Steps) ... 2
XY--- : Other solutions (3 Moves) ...... 2
--5-- : Positions evaluated ............ 764

4-URD X-URD Y-URD
4-URD Y-URD X-URD

12--- : Problem No. 1
---3- :
4---- : Solutions (3 Moves, 7 Steps) ... 2
X-Y-- : Other solutions (3 Moves) ...... 0
--5-- : Positions evaluated ............ 513

X-RURD 1-DR Y-U - Not Sig (5)
X-RURD 4-UR Y-U - Not Sig (5)

12--- : Problem No. 1
---3- :
4---- : Solutions (3 Moves, 12 Steps) .. 2
X--Y- : Other solutions (3 Moves) ...... 0
--5-- : Positions evaluated ............ 3,766

1-DRD X-RURD Y-ULURD
1-DRD Y-ULURD X-RURD

12--- : Problem No. 1
---3- :
4---- : Solutions (3 Moves, 13 Steps) .. 2
X---Y : Other solutions (3 Moves) ...... 0
--5-- : Positions evaluated ............ 3,942

1-DRD X-RURD Y-LULURD
1-DRD Y-LULURD X-RURD

12--- : Problem No. 1
---3- :
4---- : Solutions (3 Moves, 9 Steps) ... 1
X---- : Other solutions (3 Moves) ...... 8
Y-5-- : Positions evaluated ............ 1,610

4-URD X-URD Y-URD - Not Sig (2)

12--- : Problem No. 1
---3- :
4---- : Solutions (3 Moves, 9 Steps) ... 2
X---- : Other solutions (3 Moves) ...... 4
-Y5-- : Positions evaluated ............ 1,052

4-URD X-URD Y-URD
4-URD Y-URD X-URD

12--- : Problem No. 1
---3- :
4---- : Solutions (3 Moves, 12 Steps) .. 2
X---- : Other solutions (3 Moves) ...... 0
--5Y- : Positions evaluated ............ 2,233

1-DRD X-RURD Y-ULURD
1-DRD Y-ULURD X-RURD

12--- : Problem No. 1
---3- :
4---- : Solutions (3 Moves, 13 Steps) .. 2
X---- : Other solutions (3 Moves) ...... 0
--5-Y : Positions evaluated ............ 2,657

1-DRD X-RURD Y-LULURD
1-DRD Y-LULURD X-RURD

12--- : Problem No. 1
---3- :
4---- : Solutions (3 Moves, 6 Steps) ... 2
-XY-- : Other solutions (3 Moves) ...... 0
--5-- : Positions evaluated ............ 160

X-URD 1-DR Y-U - Not Sig (5)
X-URD 4-UR Y-U - Not Sig (5)

12--- : Problem No. 1
---3- :
4---- : Solutions (3 Moves, 11 Steps) .. 2
-X-Y- : Other solutions (3 Moves) ...... 0
--5-- : Positions evaluated ............ 2,503

1-DRD X-URD Y-ULURD
1-DRD Y-ULURD X-URD

12--- : Problem No. 1
---3- :
4---- : Solutions (3 Moves, 12 Steps) .. 2
-X--Y : Other solutions (3 Moves) ...... 0
--5-- : Positions evaluated ............ 4,651

1-DRD X-URD Y-LULURD
1-DRD Y-LULURD X-URD

12--- : Problem No. 1
---3- :
4---- : Solutions (3 Moves, 9 Steps) ... 2
-X--- : Other solutions (3 Moves) ...... 3
Y-5-- : Positions evaluated ............ 3,614

4-URD X-URD Y-URD
4-URD Y-URD X-URD

12--- : Problem No. 1
---3- :
4---- : Solutions (3 Moves, 9 Steps) ... 2
-X--- : Other solutions (3 Moves) ...... 0
-Y5-- : Positions evaluated ............ 526

1-DRD X-URD Y-URD
4-URD X-URD Y-URD

12--- : Problem No. 1
---3- :
4---- : Solutions (3 Moves, 11 Steps) .. 2
-X--- : Other solutions (3 Moves) ...... 0
--5Y- : Positions evaluated ............ 1,827

1-DRD X-URD Y-ULURD
1-DRD Y-ULURD X-URD

12--- : Problem No. 1
---3- :
4---- : Solutions (3 Moves, 12 Steps) .. 2
-X--- : Other solutions (3 Moves) ...... 0
--5-Y : Positions evaluated ............ 2,490

1-DRD X-URD Y-LULURD
1-DRD Y-LULURD X-URD

12--- : Problem No. 1
---3- :
4---- : Solutions (3 Moves, 8 Steps) ... 2
--XY- : Other solutions (3 Moves) ...... 0
--5-- : Positions evaluated ............ 260

Y-ULURD 1-DR X-U - Not Sig (5)
Y-ULURD 4-UR X-U - Not Sig (5)

12--- : Problem No. 1
---3- :
4---- : Solutions (3 Moves, 9 Steps) ... 2
--X-Y : Other solutions (3 Moves) ...... 0
--5-- : Positions evaluated ............ 6,727

Y-LULURD 1-DR X-U - Not Sig (5)
Y-LULURD 4-UR X-U - Not Sig (5)

12--- : Problem No. 1
---3- :
4---- : Solutions (3 Moves, 7 Steps) ... 2
--X-- : Other solutions (3 Moves) ...... 2
Y-5-- : Positions evaluated ............ 1,898

Y-RURD 1-DR X-U
Y-RURD 4-UR X-U

12--- : Problem No. 1
---3- :
4---- : Solutions (3 Moves, 6 Steps) ... 2
--X-- : Other solutions (3 Moves) ...... 0
-Y5-- : Positions evaluated ............ 182

Y-URD 1-DR X-U - Not Sig (5)
Y-URD 4-UR X-U - Not Sig (5)

12--- : Problem No. 1
---3- :
4---- : Solutions (3 Moves, 8 Steps) ... 2
--X-- : Other solutions (3 Moves) ...... 0
--5Y- : Positions evaluated ............ 260

Y-ULURD 1-DR X-U - Not Sig (5)
Y-ULURD 4-UR X-U - Not Sig (5)

12--- : Problem No. 1
---3- :
4---- : Solutions (3 Moves, 9 Steps) ... 2
--X-- : Other solutions (3 Moves) ...... 0
--5-Y : Positions evaluated ............ 363

Y-LULURD 1-DR X-U
Y-LULURD 4-UR X-U

12--- : Problem No. 1
---3- :
4---- : Solutions (3 Moves, 14 Steps) .. 1
---XY : Other solutions (3 Moves) ...... 0
--5-- : Positions evaluated ............ 1,631

1-DRD X-ULURD Y-LULURD

12--- : Problem No. 1
---3- :
4---- : Solutions (3 Moves, 12 Steps) .. 2
---X- : Other solutions (3 Moves) ...... 2
Y-5-- : Positions evaluated ............ 10,028

1-DRD X-ULURD Y-RURD
1-DRD Y-RURD X-ULURD

12--- : Problem No. 1
---3- :
4---- : Solutions (3 Moves, 11 Steps) .. 2
---X- : Other solutions (3 Moves) ...... 0
-Y5-- : Positions evaluated ............ 2,474

1-DRD X-ULURD Y-URD
1-DRD Y-URD X-ULURD

12--- : Problem No. 1
---3- :
4---- : Solutions (3 Moves, 13 Steps) .. 1
---X- : Other solutions (3 Moves) ...... 0
--5Y- : Positions evaluated ............ 1,530

1-DRD X-ULURD Y-ULURD

12--- : Problem No. 1
---3- :
4---- : Solutions (3 Moves, 14 Steps) .. 1
---X- : Other solutions (3 Moves) ...... 0
--5-Y : Positions evaluated ............ 2,537

1-DRD X-ULURD Y-LULURD

12--- : Problem No. 1
---3- :
4---- : Solutions (3 Moves, 13 Steps) .. 2
----X : Other solutions (3 Moves) ...... 2
Y-5-- : Positions evaluated ............ 13,085

1-DRD X-LULURD Y-RURD
1-DRD Y-RURD X-LULURD

12--- : Problem No. 1
---3- :
4---- : Solutions (3 Moves, 12 Steps) .. 2
----X : Other solutions (3 Moves) ...... 0
-Y5-- : Positions evaluated ............ 5,668

1-DRD X-LULURD Y-URD
1-DRD Y-URD X-LULURD

12--- : Problem No. 1
---3- :
4---- : Solutions (3 Moves, 14 Steps) .. 2
----X : Other solutions (3 Moves) ...... 0
--5Y- : Positions evaluated ............ 2,046

1-DRD X-LULURD Y-ULURD
1-DRD Y-ULURD X-LULURD

12--- : Problem No. 1
---3- :
4---- : Solutions (3 Moves, 15 Steps) .. 2
----X : Other solutions (3 Moves) ...... 0
--5-Y : Positions evaluated ............ 2,568

1-DRD X-LULURD Y-LULURD
1-DRD Y-LULURD X-LULURD

12--- : Problem No. 1
---3- :
4---- : Solutions (3 Moves, 9 Steps) ... 2
----- : Other solutions (3 Moves) ...... 4
XY5-- : Positions evaluated ............ 4,060

4-URD X-URD Y-URD
4-URD Y-URD X-URD

12--- : Problem No. 1
---3- :
4---- : Solutions (3 Moves, 12 Steps) .. 2
----- : Other solutions (3 Moves) ...... 2
X-5Y- : Positions evaluated ............ 8,439

1-DRD X-RURD Y-ULURD
1-DRD Y-ULURD X-RURD

12--- : Problem No. 1
---3- :
4---- : Solutions (3 Moves, 13 Steps) .. 2
----- : Other solutions (3 Moves) ...... 2
X-5-Y : Positions evaluated ............ 11,481

1-DRD X-RURD Y-LULURD
1-DRD Y-LULURD X-RURD

12--- : Problem No. 1
---3- :
4---- : Solutions (3 Moves, 11 Steps) .. 2
----- : Other solutions (3 Moves) ...... 0
-X5Y- : Positions evaluated ............ 2,227

1-DRD X-URD Y-ULURD
1-DRD Y-ULURD X-URD

12--- : Problem No. 1
---3- :
4---- : Solutions (3 Moves, 12 Steps) .. 2
----- : Other solutions (3 Moves) ...... 0
-X5-Y : Positions evaluated ............ 3,460

1-DRD X-URD Y-LULURD
1-DRD Y-LULURD X-URD

12--- : Problem No. 1
---3- :
4---- : Solutions (3 Moves, 14 Steps) .. 1
----- : Other solutions (3 Moves) ...... 0
--5XY : Positions evaluated ............ 2,012

1-DRD X-ULURD Y-LULURD

Figure 5 - Problem No. 2

Configurations ......................... 190
Configurations with solutions .......... 156
  With all pieces significant .......... 155
  With insignificant pieces ............ 1

Most moves for minimum solution ........ 9
Most steps for minimum solution ........ 15
Most solutions ......................... 8

                  Steps...
Moves  Count....  Min  Max
-----  ---------  ---  ---
    3         24    5   12
    4         80    5   15
    5         26    6   14
    6         15    7   10
    7          9    8   14
    8          1   10   10
    9          1   10   10

1X2Y- : Problem No. 2
----- :
----- : Solutions (6 Moves, 9 Steps) ... 3
---3- : Other solutions (6 Moves) ...... 6
-4--- : Positions evaluated ............ 1,762

X-DRU 2-L Y-L 2-DR X-D Y-D
X-DR 2-L 3-U Y-LD 4-UR X-U
X-DR 3-U 2-L Y-LD 4-UR X-U

1X2-Y : Problem No. 2
----- :
----- : Solutions (6 Moves, 9 Steps) ... 1
---3- : Other solutions (6 Moves) ...... 7
-4--- : Positions evaluated ............ 4,253

X-DRU 2-L Y-L 2-DR X-D Y-D

1X2-- : Problem No. 2
Y---- :
----- : Solutions (4 Moves, 11 Steps) .. 2
---3- : Other solutions (4 Moves) ...... 0
-4--- : Positions evaluated ............ 491

X-DRU Y-RDRU 1-RDR X-D
X-DRU Y-RDRU 2-LDR X-D

1X2-- : Problem No. 2
-Y--- :
----- : Solutions (4 Moves, 10 Steps) .. 2
---3- : Other solutions (4 Moves) ...... 0
-4--- : Positions evaluated ............ 135

Y-DRU X-DRU 1-RDR Y-D
Y-DRU X-DRU 2-LDR Y-D

1X2-- : Problem No. 2
--Y-- :
----- : Solutions (3 Moves, 7 Steps) ... 2
---3- : Other solutions (3 Moves) ...... 0
-4--- : Positions evaluated ............ 66

X-DRU 1-RDR Y-D
X-DRU 2-LDR Y-D

1X2-- : Problem No. 2
---Y- :
----- : Solutions (6 Moves, 9 Steps) ... 4
---3- : Other solutions (6 Moves) ...... 6
-4--- : Positions evaluated ............ 1,250

X-D 1-R 3-L X-URD 4-U Y-LD
X-D 2-L 3-L X-URD 4-U Y-LD
X-D 3-L 1-R X-URD 4-U Y-LD
X-D 3-L 2-L X-URD 4-U Y-LD

1X2-- : Problem No. 2
----Y :
----- : Solutions (5 Moves, 14 Steps) .. 1
---3- : Other solutions (5 Moves) ...... 0
-4--- : Positions evaluated ............ 628

X-D 1-RD X-RURDL 4-URU Y-LDL

1X2-- : Problem No. 2
----- :
Y---- : Solutions (4 Moves, 12 Steps) .. 2
---3- : Other solutions (4 Moves) ...... 0
-4--- : Positions evaluated ............ 716

X-DRU Y-URDRU 1-RDR X-D
X-DRU Y-URDRU 2-LDR X-D

1X2-- : Problem No. 2
----- :
-Y--- : Solutions (4 Moves, 10 Steps) .. 2
---3- : Other solutions (4 Moves) ...... 0
-4--- : Positions evaluated ............ 442

Y-DRU X-DRU 1-RDR Y-D
Y-DRU X-DRU 2-LDR Y-D

1X2-- : Problem No. 2
----- :
---Y- : Solutions (6 Moves, 9 Steps) ... 6
---3- : Other solutions (6 Moves) ...... 0
-4--- : Positions evaluated ............ 186

X-D 1-RD Y-L X-RU 1-DR X-D
X-D 1-RD Y-L X-RU 4-UR X-D
X-D 1-RD X-RU Y-L 1-DR X-D
X-D 1-RD X-RU Y-L 4-UR X-D
X-D 1-RD X-RU 4-UR X-D Y-L
X-D 1-RD X-RU 4-UR Y-L X-D

1X2-- : Problem No. 2
----- :
----Y : Solutions (6 Moves, 9 Steps) ... 6
---3- : Other solutions (6 Moves) ...... 0
-4--- : Positions evaluated ............ 251

X-D 1-RD Y-L X-RU 1-DR X-D
X-D 1-RD Y-L X-RU 4-UR X-D
X-D 1-RD X-RU Y-L 1-DR X-D
X-D 1-RD X-RU Y-L 4-UR X-D
X-D 1-RD X-RU 4-UR X-D Y-L
X-D 1-RD X-RU 4-UR Y-L X-D

1X2-- : Problem No. 2
----- :
----- : Solutions (4 Moves, 9 Steps) ... 4
Y--3- : Other solutions (4 Moves) ...... 2
-4--- : Positions evaluated ............ 798

X-DRU Y-RU 1-RDR X-D
X-DRU Y-RU 2-LDR X-D
Y-RU X-DRU 1-RDR Y-D
Y-RU X-DRU 2-LDR Y-D

1X2-- : Problem No. 2
----- :
----- : Solutions (4 Moves, 9 Steps) ... 2
-Y-3- : Other solutions (4 Moves) ...... 0
-4--- : Positions evaluated ............ 501

Y-RU X-DRU 1-RDR Y-D
Y-RU X-DRU 2-LDR Y-D

1X2-- : Problem No. 2
----- :
----- : Solutions (4 Moves, 8 Steps) ... 2
--Y3- : Other solutions (4 Moves) ...... 0
-4--- : Positions evaluated ............ 233

Y-U X-DRU 1-RDR Y-D
Y-U X-DRU 2-LDR Y-D

1X2-- : Problem No. 2
----- :
----- : Solutions (6 Moves, 10 Steps) .. 3
---3Y : Other solutions (6 Moves) ...... 0
-4--- : Positions evaluated ............ 405

X-DRU 1-RD 3-L X-D 3-U Y-LU
X-D 3-LU X-R 1-RD X-LU Y-LU
X-D 3-LU X-R 2-LD X-LU Y-LU

1X2-- : Problem No. 2
----- :
----- : Solutions (4 Moves, 12 Steps) .. 2
---3- : Other solutions (4 Moves) ...... 0
Y4--- : Positions evaluated ............ 444

X-DRU Y-URDRU 1-RDR X-D
X-DRU Y-URDRU 2-LDR X-D

1X2-- : Problem No. 2
----- :
----- : Solutions (4 Moves, 8 Steps) ... 4
---3- : Other solutions (4 Moves) ...... 0
-4Y-- : Positions evaluated ............ 269

X-DRU Y-U 1-RDR X-D
X-DRU Y-U 2-LDR X-D
Y-U X-DRU 1-RDR Y-D
Y-U X-DRU 2-LDR Y-D

1X2-- : Problem No. 2
----- :
----- : Solutions (4 Moves, 9 Steps) ... 4
---3- : Other solutions (4 Moves) ...... 0
-4-Y- : Positions evaluated ............ 555

X-DRU Y-LU 1-RDR X-D
X-DRU Y-LU 2-LDR X-D
Y-LU X-DRU 1-RDR Y-D
Y-LU X-DRU 2-LDR Y-D

1X2-- : Problem No. 2
----- :
----- : Solutions (4 Moves, 9 Steps) ... 4
---3- : Other solutions (4 Moves) ...... 0
-4--Y : Positions evaluated ............ 555

X-DRU Y-LU 1-RDR X-D
X-DRU Y-LU 2-LDR X-D
Y-LU X-DRU 1-RDR Y-D
Y-LU X-DRU 2-LDR Y-D

1-2XY : Problem No. 2
----- :
----- : Solutions (5 Moves, 13 Steps) .. 1
---3- : Other solutions (5 Moves) ...... 0
-4--- : Positions evaluated ............ 3,956

2-L X-L 2-DRU X-LDRU Y-LDRU

1-2X- : Problem No. 2
Y---- :
----- : Solutions (5 Moves, 13 Steps) .. 2
---3- : Other solutions (5 Moves) ...... 0
-4--- : Positions evaluated ............ 1,381

2-L X-L 2-DRU X-LDRU Y-RDRU
2-L X-L 2-DRU Y-RDRU X-LDRU

1-2X- : Problem No. 2
-Y--- :
----- : Solutions (6 Moves, 9 Steps) ... 5
---3- : Other solutions (6 Moves) ...... 6
-4--- : Positions evaluated ............ 2,689

Y-DRU 2-L X-L 2-DR Y-D X-D
Y-DR 2-L 3-U X-LD 4-UR Y-U
Y-DR 3-U 2-L X-LD 4-UR Y-U
2-L X-L Y-DRU 2-DR Y-D X-D
2-L Y-DR 3-U X-LD 4-UR Y-U

1-2X- : Problem No. 2
--Y-- :
----- : Solutions (5 Moves, 6 Steps) ... 1
---3- : Other solutions (5 Moves) ...... 0
-4--- : Positions evaluated ............ 214

2-L X-L 2-DR Y-D X-D

1-2X- : Problem No. 2
---Y- :
----- : Solutions (7 Moves, 9 Steps) ... 7
---3- : Other solutions (7 Moves) ...... 0
-4--- : Positions evaluated ............ 2,314

2-L X-L 2-DR 1-R X-D 4-U Y-LD
2-L X-L 2-DR 1-R 4-U X-D Y-LD
2-L X-L 2-DR 1-R 4-U Y-LD X-D
2-L X-L 2-D 1-RD Y-DL 2-R X-D
2-L X-L 2-D 1-RD Y-DL 3-L X-D
2-L X-L 2-D 1-RD 2-R X-D Y-DL
2-L X-L 2-D 1-RD 2-R Y-DL X-D

1-2X- : Problem No. 2
----Y :
----- : Solutions (7 Moves, 9 Steps) ... 3
---3- : Other solutions (7 Moves) ...... 0
-4--- : Positions evaluated ............ 901

2-L X-L 2-DR 1-R X-D 4-U Y-LD
2-L X-L 2-DR 1-R 4-U X-D Y-LD
2-L X-L 2-DR 1-R 4-U Y-LD X-D

1-2X- : Problem No. 2
----- :
Y---- : Solutions (4 Moves, 14 Steps) .. 2
---3- : Other solutions (4 Moves) ...... 0
-4--- : Positions evaluated ............ 1,548

X-DLDRU Y-URDRU 1-RDR X-D
X-DLDRU Y-URDRU 2-LDR X-D

1-2X- : Problem No. 2
----- :
-Y--- : Solutions (4 Moves, 9 Steps) ... 2
---3- : Other solutions (4 Moves) ...... 0
-4--- : Positions evaluated ............ 2,110

X-DL Y-DRU 1-RDR Y-D
X-DL Y-DRU 2-LDR Y-D

1-2X- : Problem No. 2
----- :
---Y- : Solutions (7 Moves, 8 Steps) ... 8
---3- : Other solutions (7 Moves) ...... 0
-4--- : Positions evaluated ............ 2,259

2-L X-L 2-D 1-RD Y-L 2-R X-D
2-L X-L 2-D 1-RD Y-L 3-L X-D
2-L X-L 2-D 1-RD 2-R X-D Y-L
2-L X-L 2-D 1-RD 2-R Y-L X-D
2-L X-L 2-D 1-RD 3-L X-D Y-L
2-L X-L 2-D 1-RD 3-L Y-L X-D
2-L X-L 2-D 3-L 1-RD X-D Y-L
2-L X-L 2-D 3-L 1-RD Y-L X-D

1-2X- : Problem No. 2
----- :
----Y : Solutions (7 Moves, 8 Steps) ... 8
---3- : Other solutions (7 Moves) ...... 0
-4--- : Positions evaluated ............ 427

2-L X-L 2-D 1-RD Y-L 2-R X-D
2-L X-L 2-D 1-RD Y-L 3-L X-D
2-L X-L 2-D 1-RD 2-R X-D Y-L
2-L X-L 2-D 1-RD 2-R Y-L X-D
2-L X-L 2-D 1-RD 3-L X-D Y-L
2-L X-L 2-D 1-RD 3-L Y-L X-D
2-L X-L 2-D 3-L 1-RD X-D Y-L
2-L X-L 2-D 3-L 1-RD Y-L X-D

1-2X- : Problem No. 2
----- :
----- : Solutions (5 Moves, 11 Steps) .. 2
Y--3- : Other solutions (5 Moves) ...... 2
-4--- : Positions evaluated ............ 3,266

2-L X-L 2-DRU X-LDRU Y-RU
2-L X-L 2-DRU Y-RU X-LDRU

1-2X- : Problem No. 2
----- :
----- : Solutions (5 Moves, 9 Steps) ... 6
-Y-3- : Other solutions (5 Moves) ...... 0
-4--- : Positions evaluated ............ 1,781

1-RD X-DL Y-RU 1-DR Y-D
1-RD X-DL Y-RU 4-UR Y-D
1-RD Y-RU X-DL 1-DR Y-D
1-RD Y-RU X-DL 4-UR Y-D
1-RD Y-RU 4-UR X-DL Y-D
1-RD Y-RU 4-UR Y-D X-DL

1-2X- : Problem No. 2
----- :
----- : Solutions (5 Moves, 7 Steps) ... 2
--Y3- : Other solutions (5 Moves) ...... 0
-4--- : Positions evaluated ............ 957

2-L 3-U X-LD 4-UR Y-U
3-U 2-L X-LD 4-UR Y-U

1-2X- : Problem No. 2
----- :
----- : Solutions (9 Moves, 10 Steps) .. 4
---3Y : Other solutions (9 Moves) ...... 0
-4--- : Positions evaluated ............ 2,576

2-L 3-U X-L 2-D Y-L 1-R X-D 2-UR Y-U
2-L 3-U X-L 2-D 1-R Y-L X-D 2-UR Y-U
3-U 2-L X-L 2-D Y-L 1-R X-D 2-UR Y-U
3-U 2-L X-L 2-D 1-R Y-L X-D 2-UR Y-U

1-2X- : Problem No. 2
----- :
----- : Solutions (5 Moves, 14 Steps) .. 2
---3- : Other solutions (5 Moves) ...... 0
Y4--- : Positions evaluated ............ 1,983

2-L X-L 2-DRU X-LDRU Y-URDRU
2-L X-L 2-DRU Y-URDRU X-LDRU

1-2X- : Problem No. 2
----- :
----- : Solutions (5 Moves, 10 Steps) .. 2
---3- : Other solutions (5 Moves) ...... 0
-4Y-- : Positions evaluated ............ 1,169

2-L X-L 2-DRU X-LDRU Y-U
2-L X-L 2-DRU Y-U X-LDRU

1-2X- : Problem No. 2
----- :
----- : Solutions (4 Moves, 9 Steps) ... 1
---3- : Other solutions (4 Moves) ...... 0
-4-Y- : Positions evaluated ............ 1,689

1-RD 3-LU X-DLU Y-LU

1-2X- : Problem No. 2
----- :
----- : Solutions (5 Moves, 11 Steps) .. 2
---3- : Other solutions (5 Moves) ...... 0
-4--Y : Positions evaluated ............ 2,216

2-L X-L 2-DRU X-LDRU Y-LU
2-L X-L 2-DRU Y-LU X-LDRU

1-2-X : Problem No. 2
Y---- :
----- : Solutions (5 Moves, 13 Steps) .. 2
---3- : Other solutions (5 Moves) ...... 0
-4--- : Positions evaluated ............ 1,759

2-L X-L 2-DRU X-LDRU Y-RDRU
2-L X-L 2-DRU Y-RDRU X-LDRU

1-2-X : Problem No. 2
-Y--- :
----- : Solutions (6 Moves, 9 Steps) ... 2
---3- : Other solutions (6 Moves) ...... 6
-4--- : Positions evaluated ............ 7,174

Y-DRU 2-L X-L 2-DR Y-D X-D
2-L X-L Y-DRU 2-DR Y-D X-D

1-2-X : Problem No. 2
--Y-- :
----- : Solutions (5 Moves, 6 Steps) ... 1
---3- : Other solutions (5 Moves) ...... 0
-4--- : Positions evaluated ............ 432

2-L X-L 2-DR Y-D X-D

1-2-X : Problem No. 2
---Y- :
----- : Solutions (7 Moves, 9 Steps) ... 7
---3- : Other solutions (7 Moves) ...... 0
-4--- : Positions evaluated ............ 4,522

2-L X-L 2-DR 1-R X-D 4-U Y-LD
2-L X-L 2-DR 1-R 4-U X-D Y-LD
2-L X-L 2-DR 1-R 4-U Y-LD X-D
2-L X-L 2-D 1-RD Y-DL 2-R X-D
2-L X-L 2-D 1-RD Y-DL 3-L X-D
2-L X-L 2-D 1-RD 2-R X-D Y-DL
2-L X-L 2-D 1-RD 2-R Y-DL X-D

1-2-X : Problem No. 2
----Y :
----- : Solutions (7 Moves, 9 Steps) ... 3
---3- : Other solutions (7 Moves) ...... 0
-4--- : Positions evaluated ............ 1,822

2-L X-L 2-DR 1-R X-D 4-U Y-LD
2-L X-L 2-DR 1-R 4-U X-D Y-LD
2-L X-L 2-DR 1-R 4-U Y-LD X-D

1-2-X : Problem No. 2
----- :
Y---- : Solutions (4 Moves, 15 Steps) .. 2
---3- : Other solutions (4 Moves) ...... 0
-4--- : Positions evaluated ............ 1,960

X-LDLDRU Y-URDRU 1-RDR X-D
X-LDLDRU Y-URDRU 2-LDR X-D

1-2-X : Problem No. 2
----- :
-Y--- : Solutions (4 Moves, 7 Steps) ... 2
---3- : Other solutions (4 Moves) ...... 2
-4--- : Positions evaluated ............ 3,532

2-RD 4-U Y-R X-LDR
4-U 2-RD Y-R X-LDR

1-2-X : Problem No. 2
----- :
---Y- : Solutions (7 Moves, 8 Steps) ... 8
---3- : Other solutions (7 Moves) ...... 0
-4--- : Positions evaluated ............ 2,848

2-L X-L 2-D 1-RD Y-L 2-R X-D
2-L X-L 2-D 1-RD Y-L 3-L X-D
2-L X-L 2-D 1-RD 2-R X-D Y-L
2-L X-L 2-D 1-RD 2-R Y-L X-D
2-L X-L 2-D 1-RD 3-L X-D Y-L
2-L X-L 2-D 1-RD 3-L Y-L X-D
2-L X-L 2-D 3-L 1-RD X-D Y-L
2-L X-L 2-D 3-L 1-RD Y-L X-D

1-2-X : Problem No. 2
----- :
----Y : Solutions (7 Moves, 8 Steps) ... 8
---3- : Other solutions (7 Moves) ...... 0
-4--- : Positions evaluated ............ 3,274

2-L X-L 2-D 1-RD Y-L 2-R X-D
2-L X-L 2-D 1-RD Y-L 3-L X-D
2-L X-L 2-D 1-RD 2-R X-D Y-L
2-L X-L 2-D 1-RD 2-R Y-L X-D
2-L X-L 2-D 1-RD 3-L X-D Y-L
2-L X-L 2-D 1-RD 3-L Y-L X-D
2-L X-L 2-D 3-L 1-RD X-D Y-L
2-L X-L 2-D 3-L 1-RD Y-L X-D

1-2-X : Problem No. 2
----- :
----- : Solutions (5 Moves, 11 Steps) .. 2
Y--3- : Other solutions (5 Moves) ...... 2
-4--- : Positions evaluated ............ 6,797

2-L X-L 2-DRU X-LDRU Y-RU
2-L X-L 2-DRU Y-RU X-LDRU

1-2-X : Problem No. 2
----- :
----- : Solutions (5 Moves, 10 Steps) .. 6
-Y-3- : Other solutions (5 Moves) ...... 0
-4--- : Positions evaluated ............ 3,770

1-RD X-LDL Y-RU 1-DR Y-D
1-RD X-LDL Y-RU 4-UR Y-D
1-RD Y-RU X-LDL 1-DR Y-D
1-RD Y-RU X-LDL 4-UR Y-D
1-RD Y-RU 4-UR X-LDL Y-D
1-RD Y-RU 4-UR Y-D X-LDL

1-2-X : Problem No. 2
----- :
----- : Solutions (6 Moves, 7 Steps) ... 2
--Y3- : Other solutions (6 Moves) ...... 3
-4--- : Positions evaluated ............ 2,288

Y-U 2-L X-L 2-DR Y-D X-D
2-L X-L Y-U 2-DR Y-D X-D

1-2-X : Problem No. 2
----- :
----- : Solutions (8 Moves, 10 Steps) .. 6
---3Y : Other solutions (8 Moves) ...... 0
-4--- : Positions evaluated ............ 6,902

Y-U 2-L X-L 2-DR 1-R X-D 4-U Y-LD
Y-U 2-L X-L 2-DR 1-R 4-U X-D Y-LD
Y-U 2-L X-L 2-DR 1-R 4-U Y-LD X-D
2-L Y-U X-L 2-DR 1-R X-D 4-U Y-LD
2-L Y-U X-L 2-DR 1-R 4-U X-D Y-LD
2-L Y-U X-L 2-DR 1-R 4-U Y-LD X-D

1-2-X : Problem No. 2
----- :
----- : Solutions (5 Moves, 14 Steps) .. 2
---3- : Other solutions (5 Moves) ...... 0
Y4--- : Positions evaluated ............ 2,765

2-L X-L 2-DRU X-LDRU Y-URDRU
2-L X-L 2-DRU Y-URDRU X-LDRU

1-2-X : Problem No. 2
----- :
----- : Solutions (5 Moves, 10 Steps) .. 2
---3- : Other solutions (5 Moves) ...... 0
-4Y-- : Positions evaluated ............ 2,533

2-L X-L 2-DRU X-LDRU Y-U
2-L X-L 2-DRU Y-U X-LDRU

1-2-X : Problem No. 2
----- :
----- : Solutions (4 Moves, 10 Steps) .. 1
---3- : Other solutions (4 Moves) ...... 0
-4-Y- : Positions evaluated ............ 3,149

1-RD 3-LU X-LDLU Y-LU

1-2-X : Problem No. 2
----- :
----- : Solutions (4 Moves, 9 Steps) ... 1
---3- : Other solutions (4 Moves) ...... 0
-4--Y : Positions evaluated ............ 4,529

1-RD 3-LU X-DLU Y-LU

1-2-- : Problem No. 2
XY--- :
----- : Solutions (4 Moves, 11 Steps) .. 2
---3- : Other solutions (4 Moves) ...... 0
-4--- : Positions evaluated ............ 384

Y-DRU X-RDRU 1-RDR Y-D
Y-DRU X-RDRU 2-LDR Y-D

1-2-- : Problem No. 2
X-Y-- :
----- : Solutions (3 Moves, 8 Steps) ... 2
---3- : Other solutions (3 Moves) ...... 0
-4--- : Positions evaluated ............ 277

X-RDRU 1-RDR Y-D
X-RDRU 2-LDR Y-D

1-2-- : Problem No. 2
X--Y- :
----- : Solutions (4 Moves, 12 Steps) .. 2
---3- : Other solutions (4 Moves) ...... 0
-4--- : Positions evaluated ............ 1,003

Y-LDRU X-RDRU 1-RDR Y-D
Y-LDRU X-RDRU 2-LDR Y-D

1-2-- : Problem No. 2
X---Y :
----- : Solutions (4 Moves, 12 Steps) .. 2
---3- : Other solutions (4 Moves) ...... 0
-4--- : Positions evaluated ............ 810

Y-LDRU X-RDRU 1-RDR Y-D
Y-LDRU X-RDRU 2-LDR Y-D

1-2-- : Problem No. 2
X---- :
Y---- : Solutions (7 Moves, 14 Steps) .. 2
---3- : Other solutions (7 Moves) ...... 0
-4--- : Positions evaluated ............ 131

1-RDRU X-RDR 1-D Y-RD 1-U X-U Y-RU
1-RDRU X-RDR 1-D Y-R 1-U X-U Y-DRU

1-2-- : Problem No. 2
X---- :
-Y--- : Solutions (4 Moves, 11 Steps) .. 2
---3- : Other solutions (4 Moves) ...... 0
-4--- : Positions evaluated ............ 672

Y-DRU X-RDRU 1-RDR Y-D
Y-DRU X-RDRU 2-LDR Y-D

1-2-- : Problem No. 2
X---- :
---Y- : Solutions ...................... None
---3- :
-4--- : Positions evaluated ............ 78

1-2-- : Problem No. 2
X---- :
----Y : Solutions ...................... None
---3- :
-4--- : Positions evaluated ............ 117

1-2-- : Problem No. 2
X---- :
----- : Solutions (3 Moves, 10 Steps) .. 2
Y--3- : Other solutions (3 Moves) ...... 0
-4--- : Positions evaluated ............ 1,247

1-RDRU X-RDRU Y-RU
1-RDRU Y-RU X-RDRU

1-2-- : Problem No. 2
X---- :
----- : Solutions (4 Moves, 10 Steps) .. 2
-Y-3- : Other solutions (4 Moves) ...... 0
-4--- : Positions evaluated ............ 582

Y-RU X-RDRU 1-RDR Y-D
Y-RU X-RDRU 2-LDR Y-D

1-2-- : Problem No. 2
X---- :
----- : Solutions (4 Moves, 9 Steps) ... 2
--Y3- : Other solutions (4 Moves) ...... 0
-4--- : Positions evaluated ............ 825

Y-U X-RDRU 1-RDR Y-D
Y-U X-RDRU 2-LDR Y-D

1-2-- : Problem No. 2
X---- :
----- : Solutions ...................... None
---3Y :
-4--- : Positions evaluated ............ 319

1-2-- : Problem No. 2
X---- :
----- : Solutions (4 Moves, 12 Steps) .. 2
---3- : Other solutions (4 Moves) ...... 0
Y4--- : Positions evaluated ............ 391

X-DRU Y-URDRU 1-RDR X-D
X-DRU Y-URDRU 2-LDR X-D

1-2-- : Problem No. 2
X---- :
----- : Solutions (3 Moves, 9 Steps) ... 2
---3- : Other solutions (3 Moves) ...... 0
-4Y-- : Positions evaluated ............ 1,165

1-RDRU X-RDRU Y-U
1-RDRU Y-U X-RDRU

1-2-- : Problem No. 2
X---- :
----- : Solutions (3 Moves, 10 Steps) .. 2
---3- : Other solutions (3 Moves) ...... 0
-4-Y- : Positions evaluated ............ 1,307

1-RDRU X-RDRU Y-LU
1-RDRU Y-LU X-RDRU

1-2-- : Problem No. 2
X---- :
----- : Solutions (3 Moves, 10 Steps) .. 2
---3- : Other solutions (3 Moves) ...... 0
-4--Y : Positions evaluated ............ 1,307

1-RDRU X-RDRU Y-LU
1-RDRU Y-LU X-RDRU

1-2-- : Problem No. 2
-XY-- :
----- : Solutions (3 Moves, 7 Steps) ... 2
---3- : Other solutions (3 Moves) ...... 0
-4--- : Positions evaluated ............ 96

X-DRU 1-RDR Y-D
X-DRU 2-LDR Y-D

1-2-- : Problem No. 2
-X-Y- :
----- : Solutions (4 Moves, 8 Steps) ... 2
---3- : Other solutions (4 Moves) ...... 0
-4--- : Positions evaluated ............ 1,748

Y-L X-DRU 1-RDR Y-D
Y-L X-DRU 2-LDR Y-D

1-2-- : Problem No. 2
-X--Y :
----- : Solutions (4 Moves, 8 Steps) ... 2
---3- : Other solutions (4 Moves) ...... 1
-4--- : Positions evaluated ............ 1,104

Y-L X-DRU 1-RDR Y-D
Y-L X-DRU 2-LDR Y-D

1-2-- : Problem No. 2
-X--- :
Y---- : Solutions (4 Moves, 12 Steps) .. 2
---3- : Other solutions (4 Moves) ...... 0
-4--- : Positions evaluated ............ 758

X-DRU Y-URDRU 1-RDR X-D
X-DRU Y-URDRU 2-LDR X-D

1-2-- : Problem No. 2
-X--- :
-Y--- : Solutions (4 Moves, 10 Steps) .. 2
---3- : Other solutions (4 Moves) ...... 0
-4--- : Positions evaluated ............ 266

Y-DRU X-DRU 1-RDR Y-D
Y-DRU X-DRU 2-LDR Y-D

1-2-- : Problem No. 2
-X--- :
---Y- : Solutions (6 Moves, 9 Steps) ... 6
---3- : Other solutions (6 Moves) ...... 0
-4--- : Positions evaluated ............ 275

X-D 1-RD Y-L X-RU 1-DR X-D
X-D 1-RD Y-L X-RU 4-UR X-D
X-D 1-RD X-RU Y-L 1-DR X-D
X-D 1-RD X-RU Y-L 4-UR X-D
X-D 1-RD X-RU 4-UR X-D Y-L
X-D 1-RD X-RU 4-UR Y-L X-D

1-2-- : Problem No. 2
-X--- :
----Y : Solutions (6 Moves, 9 Steps) ... 6
---3- : Other solutions (6 Moves) ...... 0
-4--- : Positions evaluated ............ 369

X-D 1-RD Y-L X-RU 1-DR X-D
X-D 1-RD Y-L X-RU 4-UR X-D
X-D 1-RD X-RU Y-L 1-DR X-D
X-D 1-RD X-RU Y-L 4-UR X-D
X-D 1-RD X-RU 4-UR X-D Y-L
X-D 1-RD X-RU 4-UR Y-L X-D

1-2-- : Problem No. 2
-X--- :
----- : Solutions (4 Moves, 9 Steps) ... 4
Y--3- : Other solutions (4 Moves) ...... 2
-4--- : Positions evaluated ............ 893

X-DRU Y-RU 1-RDR X-D
X-DRU Y-RU 2-LDR X-D
Y-RU X-DRU 1-RDR Y-D
Y-RU X-DRU 2-LDR Y-D

1-2-- : Problem No. 2
-X--- :
----- : Solutions (4 Moves, 9 Steps) ... 2
-Y-3- : Other solutions (4 Moves) ...... 0
-4--- : Positions evaluated ............ 657

Y-RU X-DRU 1-RDR Y-D
Y-RU X-DRU 2-LDR Y-D

1-2-- : Problem No. 2
-X--- :
----- : Solutions (4 Moves, 8 Steps) ... 2
--Y3- : Other solutions (4 Moves) ...... 0
-4--- : Positions evaluated ............ 293

Y-U X-DRU 1-RDR Y-D
Y-U X-DRU 2-LDR Y-D

1-2-- : Problem No. 2
-X--- :
----- : Solutions (6 Moves, 10 Steps) .. 3
---3Y : Other solutions (6 Moves) ...... 0
-4--- : Positions evaluated ............ 514

X-DRU 1-RD 3-L X-D 3-U Y-LU
X-D 3-LU X-R 1-RD X-LU Y-LU
X-D 3-LU X-R 2-LD X-LU Y-LU

1-2-- : Problem No. 2
-X--- :
----- : Solutions (4 Moves, 12 Steps) .. 2
---3- : Other solutions (4 Moves) ...... 0
Y4--- : Positions evaluated ............ 460

X-DRU Y-URDRU 1-RDR X-D
X-DRU Y-URDRU 2-LDR X-D

1-2-- : Problem No. 2
-X--- :
----- : Solutions (4 Moves, 8 Steps) ... 4
---3- : Other solutions (4 Moves) ...... 0
-4Y-- : Positions evaluated ............ 364

X-DRU Y-U 1-RDR X-D
X-DRU Y-U 2-LDR X-D
Y-U X-DRU 1-RDR Y-D
Y-U X-DRU 2-LDR Y-D

1-2-- : Problem No. 2
-X--- :
----- : Solutions (4 Moves, 9 Steps) ... 4
---3- : Other solutions (4 Moves) ...... 0
-4-Y- : Positions evaluated ............ 724

X-DRU Y-LU 1-RDR X-D
X-DRU Y-LU 2-LDR X-D
Y-LU X-DRU 1-RDR Y-D
Y-LU X-DRU 2-LDR Y-D

1-2-- : Problem No. 2
-X--- :
----- : Solutions (4 Moves, 9 Steps) ... 4
---3- : Other solutions (4 Moves) ...... 0
-4--Y : Positions evaluated ............ 724

X-DRU Y-LU 1-RDR X-D
X-DRU Y-LU 2-LDR X-D
Y-LU X-DRU 1-RDR Y-D
Y-LU X-DRU 2-LDR Y-D

1-2-- : Problem No. 2
--XY- :
----- : Solutions ...................... None
---3- :
-4--- : Positions evaluated ............ 81

1-2-- : Problem No. 2
--X-Y :
----- : Solutions ...................... None
---3- :
-4--- : Positions evaluated ............ 334

1-2-- : Problem No. 2
--X-- :
Y---- : Solutions (3 Moves, 9 Steps) ... 2
---3- : Other solutions (3 Moves) ...... 0
-4--- : Positions evaluated ............ 416

Y-URDRU 1-RDR X-D
Y-URDRU 2-LDR X-D

1-2-- : Problem No. 2
--X-- :
-Y--- : Solutions (3 Moves, 7 Steps) ... 2
---3- : Other solutions (3 Moves) ...... 0
-4--- : Positions evaluated ............ 204

Y-DRU 1-RDR X-D
Y-DRU 2-LDR X-D

1-2-- : Problem No. 2
--X-- :
---Y- : Solutions ...................... None
---3- :
-4--- : Positions evaluated ............ 13

1-2-- : Problem No. 2
--X-- :
----Y : Solutions ...................... None
---3- :
-4--- : Positions evaluated ............ 29

1-2-- : Problem No. 2
--X-- :
----- : Solutions (3 Moves, 6 Steps) ... 2
Y--3- : Other solutions (3 Moves) ...... 2
-4--- : Positions evaluated ............ 343

Y-RU 1-RDR X-D
Y-RU 2-LDR X-D

1-2-- : Problem No. 2
--X-- :
----- : Solutions (3 Moves, 6 Steps) ... 2
-Y-3- : Other solutions (3 Moves) ...... 0
-4--- : Positions evaluated ............ 118

Y-RU 1-RDR X-D
Y-RU 2-LDR X-D

1-2-- : Problem No. 2
--X-- :
----- : Solutions (3 Moves, 5 Steps) ... 2
--Y3- : Other solutions (3 Moves) ...... 0
-4--- : Positions evaluated ............ 91

Y-U 1-RDR X-D
Y-U 2-LDR X-D

1-2-- : Problem No. 2
--X-- :
----- : Solutions (5 Moves, 7 Steps) ... 1
---3Y : Other solutions (5 Moves) ...... 0
-4--- : Positions evaluated ............ 43

1-RD 3-L X-D 3-U Y-LU

1-2-- : Problem No. 2
--X-- :
----- : Solutions (3 Moves, 9 Steps) ... 2
---3- : Other solutions (3 Moves) ...... 0
Y4--- : Positions evaluated ............ 222

Y-URDRU 1-RDR X-D
Y-URDRU 2-LDR X-D

1-2-- : Problem No. 2
--X-- :
----- : Solutions (3 Moves, 5 Steps) ... 2
---3- : Other solutions (3 Moves) ...... 0
-4Y-- : Positions evaluated ............ 129

Y-U 1-RDR X-D
Y-U 2-LDR X-D

1-2-- : Problem No. 2
--X-- :
----- : Solutions (3 Moves, 6 Steps) ... 2
---3- : Other solutions (3 Moves) ...... 0
-4-Y- : Positions evaluated ............ 145

Y-LU 1-RDR X-D
Y-LU 2-LDR X-D

1-2-- : Problem No. 2
--X-- :
----- : Solutions (3 Moves, 6 Steps) ... 2
---3- : Other solutions (3 Moves) ...... 0
-4--Y : Positions evaluated ............ 145

Y-LU 1-RDR X-D
Y-LU 2-LDR X-D

1-2-- : Problem No. 2
---XY :
----- : Solutions ...................... None
---3- :
-4--- : Positions evaluated ............ 55

1-2-- : Problem No. 2
---X- :
Y---- : Solutions (4 Moves, 14 Steps) .. 2
---3- : Other solutions (4 Moves) ...... 0
-4--- : Positions evaluated ............ 2,292

X-DLDRU Y-URDRU 1-RDR X-D
X-DLDRU Y-URDRU 2-LDR X-D

1-2-- : Problem No. 2
---X- :
-Y--- : Solutions (3 Moves, 8 Steps) ... 2
---3- : Other solutions (3 Moves) ...... 0
-4--- : Positions evaluated ............ 1,426

1-RDR X-DL Y-DRU
2-LDR X-DL Y-DRU

1-2-- : Problem No. 2
---X- :
---Y- : Solutions ...................... None
---3- :
-4--- : Positions evaluated ............ 9

1-2-- : Problem No. 2
---X- :
----Y : Solutions ...................... None
---3- :
-4--- : Positions evaluated ............ 55

1-2-- : Problem No. 2
---X- :
----- : Solutions (5 Moves, 13 Steps) .. 2
Y--3- : Other solutions (5 Moves) ...... 0
-4--- : Positions evaluated ............ 2,631

Y-U X-LDRU Y-RDRU 1-RDR X-D
Y-U X-LDRU Y-RDRU 2-LDR X-D

1-2-- : Problem No. 2
---X- :
----- : Solutions (5 Moves, 8 Steps) ... 4
-Y-3- : Other solutions (5 Moves) ...... 6
-4--- : Positions evaluated ............ 1,214

1-R 3-L Y-URD 4-U X-LD
2-L 3-L Y-URD 4-U X-LD
3-L 1-R Y-URD 4-U X-LD
3-L 2-L Y-URD 4-U X-LD

1-2-- : Problem No. 2
---X- :
----- : Solutions ...................... None
--Y3- :
-4--- : Positions evaluated ............ 319

1-2-- : Problem No. 2
---X- :
----- : Solutions ...................... None
---3Y :
-4--- : Positions evaluated ............ 103

1-2-- : Problem No. 2
---X- :
----- : Solutions (5 Moves, 13 Steps) .. 2
---3- : Other solutions (5 Moves) ...... 0
Y4--- : Positions evaluated ............ 1,329

Y-U X-LDRU Y-RDRU 1-RDR X-D
Y-U X-LDRU Y-RDRU 2-LDR X-D

1-2-- : Problem No. 2
---X- :
----- : Solutions ...................... None
---3- :
-4Y-- : Positions evaluated ............ 419

1-2-- : Problem No. 2
---X- :
----- : Solutions (4 Moves, 9 Steps) ... 1
---3- : Other solutions (4 Moves) ...... 0
-4-Y- : Positions evaluated ............ 1,175

1-RD 3-LU X-DLU Y-LU

1-2-- : Problem No. 2
---X- :
----- : Solutions ...................... None
---3- :
-4--Y : Positions evaluated ............ 1,057

1-2-- : Problem No. 2
----X :
Y---- : Solutions (5 Moves, 13 Steps) .. 2
---3- : Other solutions (5 Moves) ...... 0
-4--- : Positions evaluated ............ 1,721

Y-U X-LDRU Y-RDRU 1-RDR X-D
Y-U X-LDRU Y-RDRU 2-LDR X-D

1-2-- : Problem No. 2
----X :
-Y--- : Solutions (3 Moves, 12 Steps) .. 1
---3- : Other solutions (3 Moves) ...... 0
-4--- : Positions evaluated ............ 1,347

1-RDRDLU X-LDL Y-DRU

1-2-- : Problem No. 2
----X :
---Y- : Solutions ...................... None
---3- :
-4--- : Positions evaluated ............ 9

1-2-- : Problem No. 2
----X :
----Y : Solutions ...................... None
---3- :
-4--- : Positions evaluated ............ 23

1-2-- : Problem No. 2
----X :
----- : Solutions (5 Moves, 13 Steps) .. 2
Y--3- : Other solutions (5 Moves) ...... 0
-4--- : Positions evaluated ............ 1,674

Y-U X-LDRU Y-RDRU 1-RDR X-D
Y-U X-LDRU Y-RDRU 2-LDR X-D

1-2-- : Problem No. 2
----X :
----- : Solutions (4 Moves, 13 Steps) .. 1
-Y-3- : Other solutions (4 Moves) ...... 0
-4--- : Positions evaluated ............ 719

1-RD Y-RURDL 4-URU X-LDL

1-2-- : Problem No. 2
----X :
----- : Solutions ...................... None
--Y3- :
-4--- : Positions evaluated ............ 484

1-2-- : Problem No. 2
----X :
----- : Solutions ...................... None
---3Y :
-4--- : Positions evaluated ............ 384

1-2-- : Problem No. 2
----X :
----- : Solutions (5 Moves, 13 Steps) .. 2
---3- : Other solutions (5 Moves) ...... 0
Y4--- : Positions evaluated ............ 850

Y-U X-LDRU Y-RDRU 1-RDR X-D
Y-U X-LDRU Y-RDRU 2-LDR X-D

1-2-- : Problem No. 2
----X :
----- : Solutions ...................... None
---3- :
-4Y-- : Positions evaluated ............ 510

1-2-- : Problem No. 2
----X :
----- : Solutions (4 Moves, 10 Steps) .. 1
---3- : Other solutions (4 Moves) ...... 0
-4-Y- : Positions evaluated ............ 1,481

1-RD 3-LU X-LDLU Y-LU

1-2-- : Problem No. 2
----X :
----- : Solutions (4 Moves, 9 Steps) ... 1
---3- : Other solutions (4 Moves) ...... 0
-4--Y : Positions evaluated ............ 1,199

1-RD 3-LU X-DLU Y-LU

1-2-- : Problem No. 2
----- :
XY--- : Solutions (4 Moves, 12 Steps) .. 2
---3- : Other solutions (4 Moves) ...... 0
-4--- : Positions evaluated ............ 1,475

Y-DRU X-URDRU 1-RDR Y-D
Y-DRU X-URDRU 2-LDR Y-D

1-2-- : Problem No. 2
----- :
X--Y- : Solutions (4 Moves, 13 Steps) .. 2
---3- : Other solutions (4 Moves) ...... 0
-4--- : Positions evaluated ............ 1,030

Y-LDRU X-URDRU 1-RDR Y-D
Y-LDRU X-URDRU 2-LDR Y-D

1-2-- : Problem No. 2
----- :
X---Y : Solutions (4 Moves, 13 Steps) .. 2
---3- : Other solutions (4 Moves) ...... 0
-4--- : Positions evaluated ............ 1,081

Y-LDRU X-URDRU 1-RDR Y-D
Y-LDRU X-URDRU 2-LDR Y-D

1-2-- : Problem No. 2
----- :
X---- : Solutions (4 Moves, 11 Steps) .. 4
Y--3- : Other solutions (4 Moves) ...... 0
-4--- : Positions evaluated ............ 1,507

X-U 1-RDRU X-RDRU Y-RU
X-U 1-RDRU Y-RU X-RDRU
Y-RU X-URDRU 1-RDR Y-D
Y-RU X-URDRU 2-LDR Y-D

1-2-- : Problem No. 2
----- :
X---- : Solutions (4 Moves, 11 Steps) .. 2
-Y-3- : Other solutions (4 Moves) ...... 0
-4--- : Positions evaluated ............ 1,144

Y-RU X-URDRU 1-RDR Y-D
Y-RU X-URDRU 2-LDR Y-D

1-2-- : Problem No. 2
----- :
X---- : Solutions (4 Moves, 10 Steps) .. 2
--Y3- : Other solutions (4 Moves) ...... 0
-4--- : Positions evaluated ............ 1,298

Y-U X-URDRU 1-RDR Y-D
Y-U X-URDRU 2-LDR Y-D

1-2-- : Problem No. 2
----- :
X---- : Solutions ...................... None
---3Y :
-4--- : Positions evaluated ............ 389

1-2-- : Problem No. 2
----- :
X---- : Solutions (4 Moves, 12 Steps) .. 4
---3- : Other solutions (4 Moves) ...... 0
Y4--- : Positions evaluated ............ 1,531

X-DRU Y-URDRU 1-RDR X-D
X-DRU Y-URDRU 2-LDR X-D
Y-URU X-URDRU 1-RDR Y-D
Y-URU X-URDRU 2-LDR Y-D

1-2-- : Problem No. 2
----- :
X---- : Solutions (4 Moves, 10 Steps) .. 4
---3- : Other solutions (4 Moves) ...... 0
-4Y-- : Positions evaluated ............ 1,654

X-U 1-RDRU X-RDRU Y-U
X-U 1-RDRU Y-U X-RDRU
Y-U X-URDRU 1-RDR Y-D
Y-U X-URDRU 2-LDR Y-D

1-2-- : Problem No. 2
----- :
X---- : Solutions (4 Moves, 11 Steps) .. 4
---3- : Other solutions (4 Moves) ...... 0
-4-Y- : Positions evaluated ............ 1,920

X-U 1-RDRU X-RDRU Y-LU
X-U 1-RDRU Y-LU X-RDRU
Y-LU X-URDRU 1-RDR Y-D
Y-LU X-URDRU 2-LDR Y-D

1-2-- : Problem No. 2
----- :
X---- : Solutions (4 Moves, 11 Steps) .. 4
---3- : Other solutions (4 Moves) ...... 0
-4--Y : Positions evaluated ............ 1,920

X-U 1-RDRU X-RDRU Y-LU
X-U 1-RDRU Y-LU X-RDRU
Y-LU X-URDRU 1-RDR Y-D
Y-LU X-URDRU 2-LDR Y-D

1-2-- : Problem No. 2
----- :
-X-Y- : Solutions (4 Moves, 5 Steps) ... 4
---3- : Other solutions (4 Moves) ...... 2
-4--- : Positions evaluated ............ 876

1-RD X-R 4-U Y-L - Not Sig (3)
2-LD X-R 4-U Y-L - Not Sig (3)
4-U X-R 1-RD Y-L - Not Sig (3)
4-U X-R 2-LD Y-L - Not Sig (3)

1-2-- : Problem No. 2
----- :
-X--Y : Solutions (4 Moves, 8 Steps) ... 2
---3- : Other solutions (4 Moves) ...... 0
-4--- : Positions evaluated ............ 1,010

Y-L X-DRU 1-RDR X-D
Y-L X-DRU 2-LDR X-D

1-2-- : Problem No. 2
----- :
-X--- : Solutions (4 Moves, 9 Steps) ... 4
Y--3- : Other solutions (4 Moves) ...... 2
-4--- : Positions evaluated ............ 1,516

X-DRU Y-RU 1-RDR X-D
X-DRU Y-RU 2-LDR X-D
Y-RU X-DRU 1-RDR Y-D
Y-RU X-DRU 2-LDR Y-D

1-2-- : Problem No. 2
----- :
-X--- : Solutions (4 Moves, 9 Steps) ... 2
-Y-3- : Other solutions (4 Moves) ...... 0
-4--- : Positions evaluated ............ 394

Y-RU X-DRU 1-RDR Y-D
Y-RU X-DRU 2-LDR Y-D

1-2-- : Problem No. 2
----- :
-X--- : Solutions (4 Moves, 8 Steps) ... 2
--Y3- : Other solutions (4 Moves) ...... 0
-4--- : Positions evaluated ............ 520

Y-U X-DRU 1-RDR Y-D
Y-U X-DRU 2-LDR Y-D

1-2-- : Problem No. 2
----- :
-X--- : Solutions (6 Moves, 10 Steps) .. 3
---3Y : Other solutions (6 Moves) ...... 0
-4--- : Positions evaluated ............ 924

X-DRU 1-RD 3-L X-D 3-U Y-LU
X-D 3-LU X-R 1-RD X-LU Y-LU
X-D 3-LU X-R 2-LD X-LU Y-LU

1-2-- : Problem No. 2
----- :
-X--- : Solutions (4 Moves, 12 Steps) .. 2
---3- : Other solutions (4 Moves) ...... 0
Y4--- : Positions evaluated ............ 632

X-DRU Y-URDRU 1-RDR X-D
X-DRU Y-URDRU 2-LDR X-D

1-2-- : Problem No. 2
----- :
-X--- : Solutions (4 Moves, 8 Steps) ... 4
---3- : Other solutions (4 Moves) ...... 0
-4Y-- : Positions evaluated ............ 723

X-DRU Y-U 1-RDR X-D
X-DRU Y-U 2-LDR X-D
Y-U X-DRU 1-RDR Y-D
Y-U X-DRU 2-LDR Y-D

1-2-- : Problem No. 2
----- :
-X--- : Solutions (4 Moves, 9 Steps) ... 4
---3- : Other solutions (4 Moves) ...... 0
-4-Y- : Positions evaluated ............ 1,101

X-DRU Y-LU 1-RDR X-D
X-DRU Y-LU 2-LDR X-D
Y-LU X-DRU 1-RDR Y-D
Y-LU X-DRU 2-LDR Y-D

1-2-- : Problem No. 2
----- :
-X--- : Solutions (4 Moves, 9 Steps) ... 4
---3- : Other solutions (4 Moves) ...... 0
-4--Y : Positions evaluated ............ 1,101

X-DRU Y-LU 1-RDR X-D
X-DRU Y-LU 2-LDR X-D
Y-LU X-DRU 1-RDR Y-D
Y-LU X-DRU 2-LDR Y-D

1-2-- : Problem No. 2
----- :
---XY : Solutions ...................... None
---3- :
-4--- : Positions evaluated ............ 9

1-2-- : Problem No. 2
----- :
---X- : Solutions ...................... None
Y--3- :
-4--- : Positions evaluated ............ 378

1-2-- : Problem No. 2
----- :
---X- : Solutions (5 Moves, 8 Steps) ... 6
-Y-3- : Other solutions (5 Moves) ...... 0
-4--- : Positions evaluated ............ 188

1-RD X-L Y-RU 1-DR Y-D
1-RD X-L Y-RU 4-UR Y-D
1-RD Y-RU X-L 1-DR Y-D
1-RD Y-RU X-L 4-UR Y-D
1-RD Y-RU 4-UR Y-D X-L
1-RD Y-RU 4-UR X-L Y-D

1-2-- : Problem No. 2
----- :
---X- : Solutions ...................... None
--Y3- :
-4--- : Positions evaluated ............ 23

1-2-- : Problem No. 2
----- :
---X- : Solutions ...................... None
---3Y :
-4--- : Positions evaluated ............ 10

1-2-- : Problem No. 2
----- :
---X- : Solutions ...................... None
---3- :
Y4--- : Positions evaluated ............ 96

1-2-- : Problem No. 2
----- :
---X- : Solutions ...................... None
---3- :
-4Y-- : Positions evaluated ............ 29

1-2-- : Problem No. 2
----- :
---X- : Solutions (4 Moves, 9 Steps) ... 1
---3- : Other solutions (4 Moves) ...... 0
-4-Y- : Positions evaluated ............ 152

1-RD 3-LU X-DLU Y-LU

1-2-- : Problem No. 2
----- :
---X- : Solutions ...................... None
---3- :
-4--Y : Positions evaluated ............ 78

1-2-- : Problem No. 2
----- :
----X : Solutions ...................... None
Y--3- :
-4--- : Positions evaluated ............ 450

1-2-- : Problem No. 2
----- :
----X : Solutions (5 Moves, 8 Steps) ... 6
-Y-3- : Other solutions (5 Moves) ...... 0
-4--- : Positions evaluated ............ 277

1-RD X-L Y-RU 1-DR Y-D
1-RD X-L Y-RU 4-UR Y-D
1-RD Y-RU X-L 1-DR Y-D
1-RD Y-RU X-L 4-UR Y-D
1-RD Y-RU 4-UR Y-D X-L
1-RD Y-RU 4-UR X-L Y-D

1-2-- : Problem No. 2
----- :
----X : Solutions ...................... None
--Y3- :
-4--- : Positions evaluated ............ 67

1-2-- : Problem No. 2
----- :
----X : Solutions ...................... None
---3Y :
-4--- : Positions evaluated ............ 42

1-2-- : Problem No. 2
----- :
----X : Solutions ...................... None
---3- :
Y4--- : Positions evaluated ............ 135

1-2-- : Problem No. 2
----- :
----X : Solutions ...................... None
---3- :
-4Y-- : Positions evaluated ............ 78

1-2-- : Problem No. 2
----- :
----X : Solutions ...................... None
---3- :
-4-Y- : Positions evaluated ............ 338

1-2-- : Problem No. 2
----- :
----X : Solutions (4 Moves, 9 Steps) ... 1
---3- : Other solutions (4 Moves) ...... 0
-4--Y : Positions evaluated ............ 586

1-RD 3-LU X-DLU Y-LU

1-2-- : Problem No. 2
----- :
----- : Solutions (4 Moves, 8 Steps) ... 2
XY-3- : Other solutions (4 Moves) ...... 2
-4--- : Positions evaluated ............ 1,158

Y-RU X-RU 1-RDR Y-D
Y-RU X-RU 2-LDR Y-D

1-2-- : Problem No. 2
----- :
----- : Solutions (4 Moves, 7 Steps) ... 2
X-Y3- : Other solutions (4 Moves) ...... 2
-4--- : Positions evaluated ............ 1,220

Y-U X-RU 1-RDR Y-D
Y-U X-RU 2-LDR Y-D

1-2-- : Problem No. 2
----- :
----- : Solutions (6 Moves, 9 Steps) ... 1
X--3Y : Other solutions (6 Moves) ...... 0
-4--- : Positions evaluated ............ 527

X-RU 1-RD 3-L X-D 3-U Y-LU

1-2-- : Problem No. 2
----- :
----- : Solutions (4 Moves, 11 Steps) .. 2
X--3- : Other solutions (4 Moves) ...... 0
Y4--- : Positions evaluated ............ 354

X-RU Y-URDRU 1-RDR X-D
X-RU Y-URDRU 2-LDR X-D

1-2-- : Problem No. 2
----- :
----- : Solutions (3 Moves, 7 Steps) ... 2
X--3- : Other solutions (3 Moves) ...... 0
-4Y-- : Positions evaluated ............ 743

1-RDRU X-RU Y-U
1-RDRU Y-U X-RU

1-2-- : Problem No. 2
----- :
----- : Solutions (3 Moves, 8 Steps) ... 2
X--3- : Other solutions (3 Moves) ...... 0
-4-Y- : Positions evaluated ............ 1,180

1-RDRU X-RU Y-LU
1-RDRU Y-LU X-RU

1-2-- : Problem No. 2
----- :
----- : Solutions (3 Moves, 8 Steps) ... 2
X--3- : Other solutions (3 Moves) ...... 0
-4--Y : Positions evaluated ............ 1,180

1-RDRU X-RU Y-LU
1-RDRU Y-LU X-RU

1-2-- : Problem No. 2
----- :
----- : Solutions (4 Moves, 7 Steps) ... 2
-XY3- : Other solutions (4 Moves) ...... 0
-4--- : Positions evaluated ............ 164

Y-U X-RU 1-RDR Y-D
Y-U X-RU 2-LDR Y-D

1-2-- : Problem No. 2
----- :
----- : Solutions (5 Moves, 9 Steps) ... 2
-X-3Y : Other solutions (5 Moves) ...... 0
-4--- : Positions evaluated ............ 508

3-LU X-R 1-RD X-LU Y-LU
3-LU X-R 2-LD X-LU Y-LU

1-2-- : Problem No. 2
----- :
----- : Solutions (4 Moves, 11 Steps) .. 2
-X-3- : Other solutions (4 Moves) ...... 0
Y4--- : Positions evaluated ............ 440

X-RU Y-URDRU 1-RDR X-D
X-RU Y-URDRU 2-LDR X-D

1-2-- : Problem No. 2
----- :
----- : Solutions (4 Moves, 7 Steps) ... 4
-X-3- : Other solutions (4 Moves) ...... 0
-4Y-- : Positions evaluated ............ 359

X-RU Y-U 1-RDR X-D
X-RU Y-U 2-LDR X-D
Y-U X-RU 1-RDR Y-D
Y-U X-RU 2-LDR Y-D

1-2-- : Problem No. 2
----- :
----- : Solutions (4 Moves, 8 Steps) ... 4
-X-3- : Other solutions (4 Moves) ...... 0
-4-Y- : Positions evaluated ............ 747

X-RU Y-LU 1-RDR X-D
X-RU Y-LU 2-LDR X-D
Y-LU X-RU 1-RDR Y-D
Y-LU X-RU 2-LDR Y-D

1-2-- : Problem No. 2
----- :
----- : Solutions (4 Moves, 8 Steps) ... 4
-X-3- : Other solutions (4 Moves) ...... 0
-4--Y : Positions evaluated ............ 747

X-RU Y-LU 1-RDR X-D
X-RU Y-LU 2-LDR X-D
Y-LU X-RU 1-RDR Y-D
Y-LU X-RU 2-LDR Y-D

1-2-- : Problem No. 2
----- :
----- : Solutions (6 Moves, 8 Steps) ... 2
--X3Y : Other solutions (6 Moves) ...... 0
-4--- : Positions evaluated ............ 95

X-U 1-RD 3-L X-D 3-U Y-LU
1-RD X-U 3-L X-D 3-U Y-LU

1-2-- : Problem No. 2
----- :
----- : Solutions (4 Moves, 10 Steps) .. 2
--X3- : Other solutions (4 Moves) ...... 0
Y4--- : Positions evaluated ............ 379

X-U Y-URDRU 1-RDR X-D
X-U Y-URDRU 2-LDR X-D

1-2-- : Problem No. 2
----- :
----- : Solutions (4 Moves, 6 Steps) ... 2
--X3- : Other solutions (4 Moves) ...... 0
-4Y-- : Positions evaluated ............ 114

X-U Y-U 1-RDR X-D
X-U Y-U 2-LDR X-D

1-2-- : Problem No. 2
----- :
----- : Solutions (4 Moves, 7 Steps) ... 2
--X3- : Other solutions (4 Moves) ...... 0
-4-Y- : Positions evaluated ............ 291

X-U Y-LU 1-RDR X-D
X-U Y-LU 2-LDR X-D

1-2-- : Problem No. 2
----- :
----- : Solutions (4 Moves, 7 Steps) ... 2
--X3- : Other solutions (4 Moves) ...... 0
-4--Y : Positions evaluated ............ 291

X-U Y-LU 1-RDR X-D
X-U Y-LU 2-LDR X-D

1-2-- : Problem No. 2
----- :
----- : Solutions ...................... None
---3X :
Y4--- : Positions evaluated ............ 323

1-2-- : Problem No. 2
----- :
----- : Solutions (4 Moves, 7 Steps) ... 2
---3X : Other solutions (4 Moves) ...... 0
-4Y-- : Positions evaluated ............ 98

1-RD 3-LU X-LU Y-U
1-RD 3-LU Y-U X-LU

1-2-- : Problem No. 2
----- :
----- : Solutions (4 Moves, 8 Steps) ... 2
---3X : Other solutions (4 Moves) ...... 0
-4-Y- : Positions evaluated ............ 181

1-RD 3-LU X-LU Y-LU
1-RD 3-LU Y-LU X-LU

1-2-- : Problem No. 2
----- :
----- : Solutions (4 Moves, 8 Steps) ... 2
---3X : Other solutions (4 Moves) ...... 0
-4--Y : Positions evaluated ............ 181

1-RD 3-LU X-LU Y-LU
1-RD 3-LU Y-LU X-LU

1-2-- : Problem No. 2
----- :
----- : Solutions (4 Moves, 10 Steps) .. 4
---3- : Other solutions (4 Moves) ...... 0
X4Y-- : Positions evaluated ............ 1,427

X-U 1-RDRU X-RDRU Y-U
X-U 1-RDRU Y-U X-RDRU
Y-U X-URDRU 1-RDR Y-D
Y-U X-URDRU 2-LDR Y-D

1-2-- : Problem No. 2
----- :
----- : Solutions (4 Moves, 11 Steps) .. 4
---3- : Other solutions (4 Moves) ...... 0
X4-Y- : Positions evaluated ............ 2,009

X-U 1-RDRU X-RDRU Y-LU
X-U 1-RDRU Y-LU X-RDRU
Y-LU X-URDRU 1-RDR Y-D
Y-LU X-URDRU 2-LDR Y-D

1-2-- : Problem No. 2
----- :
----- : Solutions (4 Moves, 11 Steps) .. 4
---3- : Other solutions (4 Moves) ...... 0
X4--Y : Positions evaluated ............ 1,800

X-U 1-RDRU X-RDRU Y-LU
X-U 1-RDRU Y-LU X-RDRU
Y-LU X-URDRU 1-RDR Y-D
Y-LU X-URDRU 2-LDR Y-D

1-2-- : Problem No. 2
----- :
----- : Solutions (3 Moves, 7 Steps) ... 1
---3- : Other solutions (3 Moves) ...... 0
-4XY- : Positions evaluated ............ 179

1-RDRU X-U Y-LU

1-2-- : Problem No. 2
----- :
----- : Solutions (3 Moves, 7 Steps) ... 1
---3- : Other solutions (3 Moves) ...... 0
-4X-Y : Positions evaluated ............ 379

1-RDRU X-U Y-LU

1-2-- : Problem No. 2
----- :
----- : Solutions (3 Moves, 8 Steps) ... 1
---3- : Other solutions (3 Moves) ...... 0
-4-XY : Positions evaluated ............ 307

1-RDRU X-LU Y-LU

Figure 6

Configurations ......................... 79
Configurations with solutions .......... 4
  With all pieces significant .......... 4
  With insignificant pieces ............ 0

Most moves for minimum solution ........ 8
Most steps for minimum solution ........ 13
Most solutions ......................... 4

                  Steps...
Moves  Count....  Min  Max
-----  ---------  ---  ---
    3          1    4    4
    4          1    5    5
    7          1   13   13
    8          1    8    8

-1--- : Board (Problem No. 1)
-2-3- :
X-45- : Solutions (3 Moves, 4 Steps) ... 1
----- : Other solutions (3 Moves) ...... 0
----- : Positions evaluated ............ 26

2-R 4-LU X-R

1-2-- : Board (Problem No. 2)
----- :
--3-- : Solutions (4 Moves, 5 Steps) ... 1
X-45- : Other solutions (4 Moves) ...... 6
----- : Positions evaluated ............ 795

1-D 3-L 4-U X-RU

12-X- : Board (Problem No. 3)
----- :
--3-- : Solutions (8 Moves, 8 Steps) ... 4
---4- : Other solutions (8 Moves) ...... 0
5---- : Positions evaluated ............ 246

2-R X-D 3-U 2-L 1-D 4-L 2-D X-L
2-R 3-U X-D 2-L 1-D 4-L 2-D X-L
2-R 3-U 2-L X-D 1-D 4-L 2-D X-L
2-R 3-U 2-L 1-D X-D 4-L 2-D X-L

123-- : Board (Problem No. 4)
----- :
4---- : Solutions (7 Moves, 13 Steps) .. 3
----5 : Other solutions (7 Moves) ...... 0
-X--- : Positions evaluated ............ 462

2-DR 1-RD 2-L 5-L 2-U 1-RUL X-URU
2-DR 4-U 1-RD 2-LU 4-RD 1-R X-URU
4-U 2-DR 1-RD 2-LU 4-RD 1-R X-URU

Figure 7

Configurations ......................... 82
Configurations with solutions .......... 3
  With all pieces significant .......... 3
  With insignificant pieces ............ 0

Most moves for minimum solution ........ 13
Most steps for minimum solution ........ 18
Most solutions ......................... 16

                  Steps...
Moves  Count....  Min  Max
-----  ---------  ---  ---
    3          1    6    6
    4          1    5    5
   13          1   18   18

  1--
  -23   :
------- : Solutions (3 Moves, 6 Steps) ... 1
-----4- : Other solutions (3 Moves) ...... 1
--X--5- : Positions evaluated ............ 192
  ---   :
  ---   :

5-L 2-DR X-URD

  1--   : Board (Problem No. 2)
  ---   :
---2-3- : Solutions (4 Moves, 5 Steps) ... 6
-X-4--- : Other solutions (4 Moves) ...... 0
------- : Positions evaluated ............ 262
  --5   :
  ---   :

2-R 4-LU 5-U X-R
2-R 5-U 4-LU X-R
3-L 4-LU 5-U X-R
3-L 5-U 4-LU X-R
4-LU 2-R 5-U X-R
4-LU 3-L 5-U X-R

  123   : Board (Problem No. 3)
  ---   :
-4--X-- : Solutions (13 Moves, 18 Steps) . 16
------- : Other solutions (13 Moves) ..... 0
------- : Positions evaluated ............ 1,695
  ---   :
  -5-   :

2-D 3-D X-LUR 2-ULU X-D 2-R X-U 4-RU X-D 2-D 4-R 2-U X-U
2-D 3-D X-LUR 2-ULU X-D 2-R X-U 4-RU X-D 2-D 3-L 2-U X-U
2-D 3-D X-LUR 2-ULU X-D 2-R X-U 4-R X-D 2-D 1-DR 2-U X-U
2-D 3-D X-LUR 2-ULU X-D 2-R X-U 4-R X-D 2-D 4-UR 2-U X-U
2-D 3-D X-LUR 2-UL X-D 2-UR X-U 4-RU X-D 2-D 4-R 2-U X-U
2-D 3-D X-LUR 2-UL X-D 2-UR X-U 4-RU X-D 2-D 3-L 2-U X-U
2-D 3-D X-LUR 2-UL X-D 2-UR X-U 4-R X-D 2-D 1-DR 2-U X-U
2-D 3-D X-LUR 2-UL X-D 2-UR X-U 4-R X-D 2-D 4-UR 2-U X-U
3-D 2-D X-LUR 2-ULU X-D 2-R X-U 4-RU X-D 2-D 4-R 2-U X-U
3-D 2-D X-LUR 2-ULU X-D 2-R X-U 4-RU X-D 2-D 3-L 2-U X-U
3-D 2-D X-LUR 2-ULU X-D 2-R X-U 4-R X-D 2-D 1-DR 2-U X-U
3-D 2-D X-LUR 2-ULU X-D 2-R X-U 4-R X-D 2-D 4-UR 2-U X-U
3-D 2-D X-LUR 2-UL X-D 2-UR X-U 4-RU X-D 2-D 4-R 2-U X-U
3-D 2-D X-LUR 2-UL X-D 2-UR X-U 4-RU X-D 2-D 3-L 2-U X-U
3-D 2-D X-LUR 2-UL X-D 2-UR X-U 4-R X-D 2-D 1-DR 2-U X-U
3-D 2-D X-LUR 2-UL X-D 2-UR X-U 4-R X-D 2-D 4-UR 2-U X-U

Figure 8

Configurations ......................... 2,090
Configurations with solutions .......... 11
  With all pieces significant .......... 11
  With insignificant pieces ............ 0

Most moves for minimum solution ........ 9      (3-1)
Most steps for minimum solution ........ 13     (3-1)
Most solutions ......................... 10     (4-1)

                  Steps...
Moves  Count....  Min  Max
-----  ---------  ---  ---
    4          1    7    7
    5          4    7    9
    6          3    8    9
    7          1    9    9
    8          1   12   12
    9          1   13   13

12-3- : Board (2-1 - Problem No. 3)
--4-- :
--5-- : Solutions (8 Moves, 12 Steps) .. 4
----- : Other solutions (8 Moves) ...... 0
X--Y- : Positions evaluated ............ 11,601

1-D X-R 5-DLU 2-R 4-D Y-ULD 4-U X-U
1-D X-R 5-DLU 4-D Y-ULD 2-R 4-U X-U
1-D X-R 5-DLU 4-D Y-ULD 3-L 4-U X-U
1-D X-R 5-DLU 4-D 2-R Y-ULD 4-U X-U

1-23- : Board (3-1 - Problem No. 4)
--4-- :
--5-- : Solutions (9 Moves, 13 Steps) .. 4
----- : Other solutions (9 Moves) ...... 0
X--Y- : Positions evaluated ............ 14,142

2-L 1-D X-R 5-DLU 2-R 4-D Y-ULD 4-U X-U
2-L 1-D X-R 5-DLU 4-D Y-ULD 2-R 4-U X-U
2-L 1-D X-R 5-DLU 4-D Y-ULD 3-L 4-U X-U
2-L 1-D X-R 5-DLU 4-D 2-R Y-ULD 4-U X-U

1---X : Board (4-1)
-23-- :
--4-- : Solutions (6 Moves, 8 Steps) ... 10
-5--Y : Other solutions (6 Moves) ...... 0
----- : Positions evaluated ............ 977

1-R X-D 2-D 4-RU X-L Y-LU
1-R X-D 2-D 4-RU Y-LU X-L
1-R X-D 4-RU Y-LU 2-D X-L
1-R X-D 4-RU Y-LU 5-U X-L
1-R X-D 4-RU 2-D X-L Y-LU
1-R X-D 4-RU 2-D Y-LU X-L
1-R 2-D X-D 4-RU X-L Y-LU
1-R 2-D X-D 4-RU Y-LU X-L
2-D 1-R X-D 4-RU X-L Y-LU
2-D 1-R X-D 4-RU Y-LU X-L

1---- : Board (6-1)
--23- :
-45-- : Solutions (5 Moves, 7 Steps) ... 2
----- : Other solutions (5 Moves) ...... 0
X--Y- : Positions evaluated ............ 222

1-D X-R 5-DL X-U Y-UL
1-D X-R 5-DL Y-UL X-U

1---- : Board (7-1)
---23 :
--45- : Solutions (7 Moves, 9 Steps) ... 1
----- : Other solutions (7 Moves) ...... 0
X-Y-- : Positions evaluated ............ 106

4-D Y-L X-U 2-L Y-UR 2-R X-RD

-1--X : Board (9-1)
-23-- :
--4-- : Solutions (6 Moves, 8 Steps) ... 10
-5--Y : Other solutions (6 Moves) ...... 0
----- : Positions evaluated ............ 1,434

1-R X-D 2-D 4-RU X-L Y-LU
1-R X-D 2-D 4-RU Y-LU X-L
1-R X-D 4-RU Y-LU 2-D X-L
1-R X-D 4-RU Y-LU 5-U X-L
1-R X-D 4-RU 2-D X-L Y-LU
1-R X-D 4-RU 2-D Y-LU X-L
1-R 2-D X-D 4-RU X-L Y-LU
1-R 2-D X-D 4-RU Y-LU X-L
2-D 1-R X-D 4-RU X-L Y-LU
2-D 1-R X-D 4-RU Y-LU X-L

-1-X- : Board (10-1)
-2--- :
Y-34- : Solutions (5 Moves, 8 Steps) ... 2
--5-- : Other solutions (5 Moves) ...... 0
----- : Positions evaluated ............ 834

1-R 3-L X-DLD 3-RU Y-R
3-L 1-R X-DLD 3-RU Y-R

-1--X : Board (11-1)
--2-- :
-34-- : Solutions (5 Moves, 7 Steps) ... 2
-5--Y : Other solutions (5 Moves) ...... 0
----- : Positions evaluated ............ 723

1-R X-D 4-RU X-L Y-LU
1-R X-D 4-RU Y-LU X-L

-1--- : Board (12-1 - Problem No. 1)
--2-- :
-34-- : Solutions (4 Moves, 7 Steps) ... 2
X--5- : Other solutions (4 Moves) ...... 0
--Y-- : Positions evaluated ............ 313

3-U 4-DLU X-RU Y-U
3-U 4-DLU Y-U X-RU

-1-X- : Board (14-1)
----- :
Y234- : Solutions (6 Moves, 9 Steps) ... 2
--5-- : Other solutions (6 Moves) ...... 0
----- : Positions evaluated ............ 1,145

2-U 1-R 3-L X-DLD 3-RU Y-R
2-U 3-L 1-R X-DLD 3-RU Y-R

--1-- : Board (15-1 - Problem No. 2)
X-2-Y :
--3-- : Solutions (5 Moves, 9 Steps) ... 4
-4-5- : Other solutions (5 Moves) ...... 0
----- : Positions evaluated ............ 10,218

2-LD X-RD 3-U X-L Y-LDL
2-LD X-R 3-U X-DL Y-LDL
2-RD Y-LD 3-U Y-R X-RDR
2-RD Y-L 3-U Y-DR X-RDR

Figure 9

Configurations ......................... 21,462
Configurations with solutions .......... 55
  With all pieces significant .......... 55
  With insignificant pieces ............ 0

Most moves for minimum solution ........ 11     (14-1)
Most steps for minimum solution ........ 16     (5-1)
Most solutions ......................... 30     (50-1)

                  Steps...
Moves  Count....  Min  Max
-----  ---------  ---  ---
    3          6    5    6
    4          4    6    6
    5          9    7    8
    6         12    7   10
    7          5    8   11
    8         11    8   12
    9          3    9   16
   10          3   12   15
   11          2   12   13

  123   : Board (1-1)
  ---   :
4------ : Solutions (10 Moves, 15 Steps) . 1
------- : Other solutions (10 Moves) ..... 0
--X-Y-- : Positions evaluated ............ 754
  ---   :
  ---   :

3-D Y-LU 1-DR Y-D 2-D Y-L 1-U Y-RDR 4-R X-UR

  12X   : Board (2-1)
  3--   :
------- : Solutions (6 Moves, 7 Steps) ... 4
------- : Other solutions (6 Moves) ...... 0
------- : Positions evaluated ............ 148
  -Y-   :
  --4   :

2-D 4-U X-LD 3-R 2-U Y-U
2-D 4-U X-LD 4-L 2-U Y-U
4-U 2-D X-LD 3-R 2-U Y-U
4-U 2-D X-LD 4-L 2-U Y-U

  12-   : Board (3-1)
  --X   :
--3---- : Solutions (8 Moves, 8 Steps) ... 20
------- : Other solutions (8 Moves) ...... 0
---Y--- : Positions evaluated ............ 804
  ---   :
  -4-   :

1-D 2-D X-L 2-U 4-U Y-U 2-D X-D
1-D 2-D X-L 4-U 2-U Y-U 2-D X-D
1-D 2-D 4-U X-L 2-U Y-U 2-D X-D
1-D 4-U 2-D X-L 2-U Y-U 2-D X-D
2-D 1-D X-L 2-U 4-U Y-U 2-D X-D
2-D 1-D X-L 4-U 2-U Y-U 2-D X-D
2-D 1-D 4-U X-L 2-U Y-U 2-D X-D
2-D 3-U X-L 2-U 4-U Y-U 2-D X-D
2-D 3-U X-L 4-U 2-U Y-U 2-D X-D
2-D 3-U 4-U X-L 2-U Y-U 2-D X-D
2-D 4-U 1-D X-L 2-U Y-U 2-D X-D
2-D 4-U 3-U X-L 2-U Y-U 2-D X-D
3-U 2-D X-L 2-U 4-U Y-U 2-D X-D
3-U 2-D X-L 4-U 2-U Y-U 2-D X-D
3-U 2-D 4-U X-L 2-U Y-U 2-D X-D
3-U 4-U 2-D X-L 2-U Y-U 2-D X-D
4-U 1-D 2-D X-L 2-U Y-U 2-D X-D
4-U 2-D 1-D X-L 2-U Y-U 2-D X-D
4-U 2-D 3-U X-L 2-U Y-U 2-D X-D
4-U 3-U 2-D X-L 2-U Y-U 2-D X-D

  12-   : Board (4-1)
  ---   :
----3-- : Solutions (7 Moves, 8 Steps) ... 2
--X---4 : Other solutions (7 Moves) ...... 0
---Y--- : Positions evaluated ............ 665
  ---   :
  ---   :

1-DR 2-D 1-D 4-L 1-U X-R Y-U
1-DR 2-D 1-D 4-L 1-U Y-U X-R

  12-   : Board (5-1 - Problem No. 3)
  ---   :
-----3- : Solutions (9 Moves, 16 Steps) .. 1
------- : Other solutions (9 Moves) ...... 0
--X-Y-- : Positions evaluated ............ 314
  ---   :
  -4-   :

1-D X-RU 4-URDL X-D 2-D X-RD 4-UR X-L Y-UL

  12-   : Board (6-1)
  --X   :
------- : Solutions (8 Moves, 9 Steps) ... 5
3------ : Other solutions (8 Moves) ...... 0
---Y--- : Positions evaluated ............ 382
  ---   :
  -4-   :

2-D 3-RU X-L 2-U 4-U Y-U 2-D X-D
2-D 3-RU X-L 4-U 2-U Y-U 2-D X-D
2-D 3-RU 4-U X-L 2-U Y-U 2-D X-D
2-D 4-U 3-RU X-L 2-U Y-U 2-D X-D
4-U 2-D 3-RU X-L 2-U Y-U 2-D X-D

  12-   : Board (7-1)
  ---   :
------- : Solutions (6 Moves, 8 Steps) ... 2
------3 : Other solutions (6 Moves) ...... 0
--X--4- : Positions evaluated ............ 568
  -Y-   :
  ---   :

1-D 3-L 2-D 3-DR X-RU Y-U
1-D 3-L 2-D 3-DR Y-U X-RU

  12-   : Board (8-1)
  ---   :
------- : Solutions (7 Moves, 11 Steps) .. 5
----X-3 : Other solutions (7 Moves) ...... 0
--Y---- : Positions evaluated ............ 3,573
  --4   :
  ---   :

1-DR 2-D 3-L X-DL 1-RD X-U Y-RU
1-DR 3-L X-DL 2-D 1-RD X-U Y-RU
1-DR 3-L 2-D X-DL 1-RD X-U Y-RU
3-L 1-DR X-DL 2-D 1-RD X-U Y-RU
3-L 1-DR 2-D X-DL 1-RD X-U Y-RU

  12-   : Board (9-1)
  ---   :
------- : Solutions (8 Moves, 12 Steps) .. 5
----X-3 : Other solutions (8 Moves) ...... 0
--Y---- : Positions evaluated ............ 3,286
  ---   :
  --4   :

1-DR 2-D 3-L X-D 1-R X-ULU 4-U Y-RU
1-DR 3-L X-D 2-D 1-R X-ULU 4-U Y-RU
1-DR 3-L 2-D X-D 1-R X-ULU 4-U Y-RU
3-L 1-DR X-D 2-D 1-R X-ULU 4-U Y-RU
3-L 1-DR 2-D X-D 1-R X-ULU 4-U Y-RU

  12-   : Board (10-1)
  ---   :
-----X- : Solutions (9 Moves, 16 Steps) .. 2
------- : Other solutions (9 Moves) ...... 0
--Y-3-- : Positions evaluated ............ 312
  ---   :
  -4-   :

1-D Y-RU 4-URDL Y-D 2-D Y-RD 4-U Y-L X-LDL
1-D Y-RU 4-URDL Y-D 2-D Y-R 4-U Y-DL X-LDL

  12-   : Board (11-1 - Problem No. 2)
  ---   :
-----X- : Solutions (9 Moves, 9 Steps) ... 12
--Y---- : Other solutions (9 Moves) ...... 0
-----3- : Positions evaluated ............ 1,634
  ---   :
  -4-   :

1-D 2-D 3-U X-L 2-U 4-U 2-R X-D Y-R
1-D 2-D 3-U X-L 2-U 4-U 2-R Y-R X-D
1-D 3-U 2-D X-L 2-U 4-U 2-R X-D Y-R
1-D 3-U 2-D X-L 2-U 4-U 2-R Y-R X-D
2-D 1-D 3-U X-L 2-U 4-U 2-R X-D Y-R
2-D 1-D 3-U X-L 2-U 4-U 2-R Y-R X-D
2-D 3-U 1-D X-L 2-U 4-U 2-R X-D Y-R
2-D 3-U 1-D X-L 2-U 4-U 2-R Y-R X-D
3-U 1-D 2-D X-L 2-U 4-U 2-R X-D Y-R
3-U 1-D 2-D X-L 2-U 4-U 2-R Y-R X-D
3-U 2-D 1-D X-L 2-U 4-U 2-R X-D Y-R
3-U 2-D 1-D X-L 2-U 4-U 2-R Y-R X-D

  12X   : Board (12-1)
  ---   :
------- : Solutions (5 Moves, 8 Steps) ... 4
------- : Other solutions (5 Moves) ...... 0
------- : Positions evaluated ............ 1,651
  Y-3   :
  --4   :

3-L 2-D 4-U X-LD Y-URD
3-L 2-D 4-U Y-URD X-LD
3-L 4-U 2-D X-LD Y-URD
3-L 4-U 2-D Y-URD X-LD

  1X2   : Board (13-1)
  -3-   :
------- : Solutions (8 Moves, 9 Steps) ... 10
------- : Other solutions (8 Moves) ...... 0
---Y--- : Positions evaluated ............ 347
  ---   :
  -4-   :

3-D X-D Y-D 1-RD 3-D X-D 3-U Y-U
3-D X-D Y-D 2-LD 3-D X-D 3-U Y-U
3-D X-D Y-D 3-D 1-RD X-D 3-U Y-U
3-D X-D Y-D 3-D 2-LD X-D 3-U Y-U
3-D X-D 1-RD Y-D 3-D X-D 3-U Y-U
3-D X-D 2-LD Y-D 3-D X-D 3-U Y-U
3-D Y-D X-D 1-RD 3-D X-D 3-U Y-U
3-D Y-D X-D 2-LD 3-D X-D 3-U Y-U
3-D Y-D X-D 3-D 1-RD X-D 3-U Y-U
3-D Y-D X-D 3-D 2-LD X-D 3-U Y-U

  1-2   : Board (14-1)
  ---   :
3------ : Solutions (11 Moves, 13 Steps) . 6
------- : Other solutions (11 Moves) ..... 0
X---Y-- : Positions evaluated ............ 5,253
  ---   :
  -4-   :

3-D X-R Y-U 2-LD 3-RU Y-L 2-U 4-U X-U 2-D Y-D
3-D X-R Y-U 2-LD 3-RU Y-L 4-U 2-U X-U 2-D Y-D
3-D X-R Y-U 2-LD 3-RU 4-U Y-L 2-U X-U 2-D Y-D
3-D X-R Y-U 2-LD 4-U 3-RU Y-L 2-U X-U 2-D Y-D
3-D X-R Y-U 4-U 2-LD 3-RU Y-L 2-U X-U 2-D Y-D
3-D X-R 4-U Y-U 2-LD 3-RU Y-L 2-U X-U 2-D Y-D

  1--   : Board (15-1)
  2-X   :
3------ : Solutions (11 Moves, 12 Steps) . 2
------- : Other solutions (11 Moves) ..... 0
---Y--- : Positions evaluated ............ 403
  ---   :
  -4-   :

2-R 4-U Y-U 3-RU Y-D 2-D X-L 2-U Y-U 2-D X-D
4-U 2-R Y-U 3-RU Y-D 2-D X-L 2-U Y-U 2-D X-D

  1--   : Board (16-1)
  2-X   :
-3----- : Solutions (10 Moves, 14 Steps) . 4
------- : Other solutions (10 Moves) ..... 0
---Y--- : Positions evaluated ............ 1,073
  ---   :
  -4-   :

2-R 4-U Y-ULU 2-D Y-R 2-U 3-RU 2-D Y-D X-LD
2-R 4-U Y-UL 2-D Y-UR 2-U 3-RU 2-D Y-D X-LD
4-U 2-R Y-ULU 2-D Y-R 2-U 3-RU 2-D Y-D X-LD
4-U 2-R Y-UL 2-D Y-UR 2-U 3-RU 2-D Y-D X-LD

  1--   : Board (17-1)
  2-X   :
--3---- : Solutions (8 Moves, 9 Steps) ... 10
------- : Other solutions (8 Moves) ...... 0
---Y--- : Positions evaluated ............ 679
  ---   :
  -4-   :

2-RD 1-D X-L 2-U 4-U Y-U 2-D X-D
2-RD 1-D X-L 4-U 2-U Y-U 2-D X-D
2-RD 1-D 4-U X-L 2-U Y-U 2-D X-D
2-RD 3-U X-L 2-U 4-U Y-U 2-D X-D
2-RD 3-U X-L 4-U 2-U Y-U 2-D X-D
2-RD 3-U 4-U X-L 2-U Y-U 2-D X-D
2-RD 4-U 1-D X-L 2-U Y-U 2-D X-D
2-RD 4-U 3-U X-L 2-U Y-U 2-D X-D
4-U 2-RD 1-D X-L 2-U Y-U 2-D X-D
4-U 2-RD 3-U X-L 2-U Y-U 2-D X-D

  1-X   : Board (18-1)
  2--   :
----3-- : Solutions (6 Moves, 7 Steps) ... 4
---4--- : Other solutions (6 Moves) ...... 0
------- : Positions evaluated ............ 874
  -Y-   :
  ---   :

3-U 4-D X-LD 2-R 4-U Y-U
3-U 4-D X-LD 3-L 4-U Y-U
4-D 3-U X-LD 2-R 4-U Y-U
4-D 3-U X-LD 3-L 4-U Y-U

  1-X   : Board (19-1)
  2--   :
------- : Solutions (6 Moves, 8 Steps) ... 2
---3--- : Other solutions (6 Moves) ...... 0
-----4- : Positions evaluated ............ 6,534
  -Y-   :
  ---   :

3-D 4-LU X-LD 2-R 3-U Y-U
3-D 4-LU X-LD 4-L 3-U Y-U

  1-X   : Board (20-1)
  2--   :
------- : Solutions (6 Moves, 8 Steps) ... 2
---3--- : Other solutions (6 Moves) ...... 0
------4 : Positions evaluated ............ 3,038
  -Y-   :
  ---   :

3-D 4-LU X-LD 2-R 3-U Y-U
3-D 4-LU X-LD 4-L 3-U Y-U

  1--   : Board (21-1)
  2-X   :
------- : Solutions (5 Moves, 8 Steps) ... 4
------- : Other solutions (5 Moves) ...... 0
------- : Positions evaluated ............ 2,189
  Y-3   :
  -4-   :

2-R 1-D 4-U X-DLU Y-RU
2-R 1-D 4-U Y-RU X-DLU
2-R 4-U 1-D X-DLU Y-RU
2-R 4-U 1-D Y-RU X-DLU

  1--   : Board (22-1)
  -23   :
------- : Solutions (10 Moves, 12 Steps) . 6
--X---4 : Other solutions (10 Moves) ..... 0
---Y--- : Positions evaluated ............ 415
  ---   :
  ---   :

1-D X-R 2-D X-L 4-L X-UL 2-RU X-D 1-R Y-U
1-D X-R 2-D X-L 4-L X-UL 2-RU X-D 2-L Y-U
1-D X-R 2-D X-L 4-L X-UL 2-R X-D 3-DL Y-U
1-D X-R 2-D X-L 4-L X-UL 2-R X-D 2-UL Y-U
1-D X-R 2-D X-L 4-L X-U 2-R X-LD 3-DL Y-U
1-D X-R 2-D X-L 4-L X-U 2-R X-LD 2-UL Y-U

  1--   : Board (23-1)
  -2X   :
------- : Solutions (8 Moves, 9 Steps) ... 5
3------ : Other solutions (8 Moves) ...... 0
---Y--- : Positions evaluated ............ 382
  ---   :
  -4-   :

2-D 3-RU X-L 2-U 4-U Y-U 2-D X-D
2-D 3-RU X-L 4-U 2-U Y-U 2-D X-D
2-D 3-RU 4-U X-L 2-U Y-U 2-D X-D
2-D 4-U 3-RU X-L 2-U Y-U 2-D X-D
4-U 2-D 3-RU X-L 2-U Y-U 2-D X-D

  1--   : Board (24-1)
  -2-   :
------- : Solutions (5 Moves, 7 Steps) ... 2
----X-3 : Other solutions (5 Moves) ...... 0
--Y---- : Positions evaluated ............ 2,042
  ---   :
  --4   :

1-D 4-U X-L 3-LU Y-RU
4-U 1-D X-L 3-LU Y-RU

  1--   : Board (25-1)
  --2   :
--X-3-- : Solutions (5 Moves, 7 Steps) ... 2
---4--- : Other solutions (5 Moves) ...... 0
------- : Positions evaluated ............ 395
  -Y-   :
  ---   :

1-DR 4-D X-RD 4-U Y-U
4-D 1-DR X-RD 4-U Y-U

  1--   : Board (27-1)
  ---   :
2------ : Solutions (7 Moves, 10 Steps) .. 2
---3-X- : Other solutions (7 Moves) ...... 0
Y-----4 : Positions evaluated ............ 384
  ---   :
  ---   :

4-L Y-UR 1-DLD 3-R Y-R 3-L X-L
4-L Y-UR 3-R 1-DLD Y-R 3-L X-L

  1--   : Board (28-1)
  --X   :
-2----- : Solutions (6 Moves, 10 Steps) .. 2
--Y---3 : Other solutions (6 Moves) ...... 0
------- : Positions evaluated ............ 845
  ---   :
  -4-   :

3-L Y-UR 4-U 3-ULU Y-D X-LD
3-L 4-U Y-UR 3-ULU Y-D X-LD

  1-X   : Board (29-1)
  ---   :
--23-Y- : Solutions (3 Moves, 6 Steps) ... 2
------- : Other solutions (3 Moves) ...... 0
---4--- : Positions evaluated ............ 3,284
  ---   :
  ---   :

3-RU X-LD Y-LD
3-RU Y-LD X-LD

  1-X   : Board (30-1)
  ---   :
--2-3-- : Solutions (6 Moves, 8 Steps) ... 4
---4--- : Other solutions (6 Moves) ...... 0
------- : Positions evaluated ............ 4,946
  -Y-   :
  ---   :

3-U 4-D X-LD 1-DR 4-U Y-U
3-U 4-D X-LD 2-UR 4-U Y-U
4-D 3-U X-LD 1-DR 4-U Y-U
4-D 3-U X-LD 2-UR 4-U Y-U

  1-X   : Board (31-1)
  ---   :
--2---- : Solutions (6 Moves, 9 Steps) ... 2
---3--- : Other solutions (6 Moves) ...... 0
------4 : Positions evaluated ............ 4,429
  -Y-   :
  ---   :

3-D 4-LU X-LD 1-DR 3-U Y-U
3-D 4-LU X-LD 2-UR 3-U Y-U

  1--   : Board (32-1)
  ---   :
---2--- : Solutions (3 Moves, 6 Steps) ... 2
---3--- : Other solutions (3 Moves) ...... 0
-X--4-- : Positions evaluated ............ 94
  -Y-   :
  ---   :

3-DLU X-RU Y-U
3-DLU Y-U X-RU

  1--   : Board (33-1)
  ---   :
---2--- : Solutions (4 Moves, 6 Steps) ... 4
---3-X- : Other solutions (4 Moves) ...... 0
--Y---- : Positions evaluated ............ 280
  --4   :
  ---   :

1-D 3-RD X-L Y-RU
1-D 3-RD Y-RU X-L
3-RD 1-D X-L Y-RU
3-RD 1-D Y-RU X-L

  1-X   : Board (35-1)
  ---   :
----2-- : Solutions (6 Moves, 8 Steps) ... 2
--34--- : Other solutions (6 Moves) ...... 0
------- : Positions evaluated ............ 2,422
  -Y-   :
  ---   :

2-U 4-D X-LD 3-UR 4-U Y-U
4-D 2-U X-LD 3-UR 4-U Y-U

  1--   : Board (36-1)
  -X-   :
-Y--2-- : Solutions (3 Moves, 6 Steps) ... 2
---3--- : Other solutions (3 Moves) ...... 0
---4--- : Positions evaluated ............ 89
  ---   :
  ---   :

3-ULU X-D Y-RD
3-ULU Y-RD X-D

  1--   : Board (37-1)
  ---   :
----X-- : Solutions (6 Moves, 8 Steps) ... 3
2-Y---- : Other solutions (6 Moves) ...... 0
----3-- : Positions evaluated ............ 2,447
  ---   :
  -4-   :

1-DR X-D 2-R Y-R 4-UL X-L
1-DR 2-R X-D Y-R 4-UL X-L
2-R 1-DR X-D Y-R 4-UL X-L

  1--   : Board (39-1)
  ---   :
----X-- : Solutions (8 Moves, 12 Steps) .. 5
2-Y---- : Other solutions (8 Moves) ...... 0
------- : Positions evaluated ............ 3,284
  --3   :
  -4-   :

2-R 3-UL Y-U 4-U 3-L Y-DRD 1-D X-LD
2-R 3-UL 4-U Y-U 3-L Y-DRD 1-D X-LD
3-UL 2-R Y-U 4-U 3-L Y-DRD 1-D X-LD
3-UL 2-R 4-U Y-U 3-L Y-DRD 1-D X-LD
3-UL 4-U 2-R Y-U 3-L Y-DRD 1-D X-LD

  1-X   : Board (40-1)
  ---   :
------- : Solutions (6 Moves, 9 Steps) ... 1
--23--- : Other solutions (6 Moves) ...... 0
------4 : Positions evaluated ............ 4,741
  -Y-   :
  ---   :

3-D 4-LU X-LD 2-UR 3-U Y-U

  1-X   : Board (41-1)
  ---   :
------- : Solutions (5 Moves, 8 Steps) ... 6
---2--- : Other solutions (5 Moves) ...... 0
----3-- : Positions evaluated ............ 2,709
  Y-4   :
  ---   :

3-U 4-L 2-D X-LD Y-URD
3-U 4-L 2-D Y-URD X-LD
4-L 2-D 3-U X-LD Y-URD
4-L 2-D 3-U Y-URD X-LD
4-L 3-U 2-D X-LD Y-URD
4-L 3-U 2-D Y-URD X-LD

  1--   : Board (42-1)
  ---   :
-X--Y-- : Solutions (8 Moves, 9 Steps) ... 2
------- : Other solutions (8 Moves) ...... 0
-2----- : Positions evaluated ............ 121
  -3-   :
  -4-   :

2-U X-R 3-U 4-U 3-L X-D 1-D Y-LD
2-U X-R 3-U 4-U 3-L 1-D X-D Y-LD

  1--   : Board (43-1)
  ---   :
-----X- : Solutions (8 Moves, 8 Steps) ... 4
--Y---- : Other solutions (8 Moves) ...... 0
-----2- : Positions evaluated ............ 238
  -3-   :
  -4-   :

1-D 2-U X-L 3-U 4-U 3-R X-D Y-R
1-D 2-U X-L 3-U 4-U 3-R Y-R X-D
2-U 1-D X-L 3-U 4-U 3-R X-D Y-R
2-U 1-D X-L 3-U 4-U 3-R Y-R X-D

  -1-   : Board (45-1)
  2--   :
------- : Solutions (7 Moves, 11 Steps) .. 5
----X-3 : Other solutions (7 Moves) ...... 0
--Y---- : Positions evaluated ............ 3,632
  --4   :
  ---   :

2-DR 1-D 3-L X-DL 2-RD X-U Y-RU
2-DR 3-L X-DL 1-D 2-RD X-U Y-RU
2-DR 3-L 1-D X-DL 2-RD X-U Y-RU
3-L 2-DR X-DL 1-D 2-RD X-U Y-RU
3-L 2-DR 1-D X-DL 2-RD X-U Y-RU

  -1-   : Board (46-1)
  -2-   :
-3----- : Solutions (7 Moves, 9 Steps) ... 1
------- : Other solutions (7 Moves) ...... 0
-X--Y-- : Positions evaluated ............ 132
  4--   :
  ---   :

3-D X-R 2-D 1-D 2-LD X-U Y-LU

  -1-   : Board (47-1)
  -2-   :
-3----- : Solutions (8 Moves, 8 Steps) ... 4
----X-- : Other solutions (8 Moves) ...... 0
-Y----- : Positions evaluated ............ 316
  --4   :
  ---   :

3-D 4-U Y-R 2-D 1-D 2-L X-L Y-U
3-D 4-U Y-R 2-D 1-D 2-L Y-U X-L
4-U 3-D Y-R 2-D 1-D 2-L X-L Y-U
4-U 3-D Y-R 2-D 1-D 2-L Y-U X-L

  -1-   : Board (50-1)
  ---   :
------- : Solutions (8 Moves, 9 Steps) ... 30
2-X--3Y : Other solutions (8 Moves) ...... 6
------- : Positions evaluated ............ 5,031
  ---   :
  -4-   :

2-R 3-L Y-L 1-D 3-D X-R 3-UL Y-L
2-R 3-L Y-L 4-U 3-U X-R 3-DL Y-L
2-R 3-L 1-D Y-L 3-D X-R 3-UL Y-L
2-R 3-L 1-D 3-D X-R 3-UL X-L Y-L
2-R 3-L 4-U Y-L 3-U X-R 3-DL Y-L
2-R 3-L 4-U 3-U X-R 3-DL X-L Y-L
3-L Y-L 1-D 2-R 3-D X-R 3-UL Y-L
3-L Y-L 1-D 3-D 2-R X-R 3-UL Y-L
3-L Y-L 2-R 1-D 3-D X-R 3-UL Y-L
3-L Y-L 2-R 4-U 3-U X-R 3-DL Y-L
3-L Y-L 4-U 2-R 3-U X-R 3-DL Y-L
3-L Y-L 4-U 3-U 2-R X-R 3-DL Y-L
3-L 1-D Y-L 2-R 3-D X-R 3-UL Y-L
3-L 1-D Y-L 3-D 2-R X-R 3-UL Y-L
3-L 1-D 2-R Y-L 3-D X-R 3-UL Y-L
3-L 1-D 2-R 3-D X-R 3-UL X-L Y-L
3-L 1-D 3-R 4-UR X-R 4-L 3-L Y-L
3-L 1-D 3-D 2-R X-R 3-UL X-L Y-L
3-L 2-R Y-L 1-D 3-D X-R 3-UL Y-L
3-L 2-R Y-L 4-U 3-U X-R 3-DL Y-L
3-L 2-R 1-D Y-L 3-D X-R 3-UL Y-L
3-L 2-R 1-D 3-D X-R 3-UL X-L Y-L
3-L 2-R 4-U Y-L 3-U X-R 3-DL Y-L
3-L 2-R 4-U 3-U X-R 3-DL X-L Y-L
3-L 4-U Y-L 2-R 3-U X-R 3-DL Y-L
3-L 4-U Y-L 3-U 2-R X-R 3-DL Y-L
3-L 4-U 2-R Y-L 3-U X-R 3-DL Y-L
3-L 4-U 2-R 3-U X-R 3-DL X-L Y-L
3-L 4-U 3-R 1-DR X-R 1-L 3-L Y-L
3-L 4-U 3-U 2-R X-R 3-DL X-L Y-L

  ---   : Board (51-1)
  1-X   :
--2---- : Solutions (5 Moves, 7 Steps) ... 2
---34-- : Other solutions (5 Moves) ...... 0
------- : Positions evaluated ............ 519
  -Y-   :
  ---   :

1-R 3-D X-DLD 3-U Y-U
3-D 1-R X-DLD 3-U Y-U

  ---   : Board (52-1)
  1-X   :
--2---- : Solutions (5 Moves, 7 Steps) ... 3
---3--- : Other solutions (5 Moves) ...... 0
--4-Y-- : Positions evaluated ............ 847
  ---   :
  ---   :

1-R 2-D 3-U X-DL Y-LU
1-R 3-U 2-D X-DL Y-LU
2-D 1-R 3-U X-DL Y-LU

  ---   : Board (53-1)
  1-X   :
--2---- : Solutions (5 Moves, 7 Steps) ... 6
---3--- : Other solutions (5 Moves) ...... 0
--Y-4-- : Positions evaluated ............ 853
  ---   :
  ---   :

1-R 2-D 3-U X-DL Y-RU
1-R 2-D 3-U Y-RU X-DL
1-R 3-U 2-D X-DL Y-RU
1-R 3-U 2-D Y-RU X-DL
2-D 1-R 3-U X-DL Y-RU
2-D 1-R 3-U Y-RU X-DL

  ---   : Board (54-1)
  1-X   :
--2---- : Solutions (5 Moves, 8 Steps) ... 2
---3--- : Other solutions (5 Moves) ...... 0
-----4- : Positions evaluated ............ 2,047
  -Y-   :
  ---   :

3-DRU X-LD 2-R X-U Y-U
3-DRU X-LD 3-L X-U Y-U

  ---   : Board (55-1)
  1--   :
---2--- : Solutions (3 Moves, 6 Steps) ... 2
---3--- : Other solutions (3 Moves) ...... 0
-X--4-- : Positions evaluated ............ 96
  -Y-   :
  ---   :

3-DLU X-RU Y-U
3-DLU Y-U X-RU

  ---   : Board (56-1)
  1--   :
---2--- : Solutions (4 Moves, 6 Steps) ... 4
---3-X- : Other solutions (4 Moves) ...... 0
--Y---- : Positions evaluated ............ 294
  --4   :
  ---   :

1-D 3-RD X-L Y-RU
1-D 3-RD Y-RU X-L
3-RD 1-D X-L Y-RU
3-RD 1-D Y-RU X-L

  ---   : Board (57-1)
  1-X   :
------- : Solutions (6 Moves, 8 Steps) ... 3
--234-- : Other solutions (6 Moves) ...... 0
------- : Positions evaluated ............ 2,245
  -Y-   :
  ---   :

2-U 1-R 3-D X-DLD 3-U Y-U
2-U 3-D 1-R X-DLD 3-U Y-U
3-D 2-U 1-R X-DLD 3-U Y-U

  ---   : Board (58-1)
  1-X   :
------- : Solutions (4 Moves, 6 Steps) ... 1
--23--- : Other solutions (4 Moves) ...... 0
--4-Y-- : Positions evaluated ............ 520
  ---   :
  ---   :

1-R 3-U X-DL Y-LU

  ---   : Board (59-1 - Problem No. 1)
  1-X   :
------- : Solutions (3 Moves, 5 Steps) ... 2
--23-Y- : Other solutions (3 Moves) ...... 0
---4--- : Positions evaluated ............ 1,183
  ---   :
  ---   :

3-RU X-LD Y-L
3-RU Y-L X-LD

  ---   : Board (60-1)
  1--   :
----X-- : Solutions (4 Moves, 6 Steps) ... 4
-Y-2--- : Other solutions (4 Moves) ...... 0
---34-- : Positions evaluated ............ 416
  ---   :
  ---   :

2-LU 4-U X-LD Y-R
2-LU 4-U Y-R X-LD
4-U 2-LU X-LD Y-R
4-U 2-LU Y-R X-LD

  ---   : Board (61-1)
  ---   :
--12--- : Solutions (3 Moves, 6 Steps) ... 2
---3--- : Other solutions (3 Moves) ...... 0
-X--4-- : Positions evaluated ............ 83
  -Y-   :
  ---   :

3-DLU X-RU Y-U
3-DLU Y-U X-RU

Figure 10

Configurations ......................... 8
Configurations with solutions .......... 8
  With all pieces significant .......... 8
  With insignificant pieces ............ 0

Most moves for minimum solution ........ 16
Most steps for minimum solution ........ 23
Most solutions ......................... 8

                  Steps...
Moves  Count....  Min  Max
-----  ---------  ---  ---
    2          2    3   12
    4          2    8   15
    6          1   15   15
   10          1   11   11
   11          1   23   23
   16          1   23   23

---1- : Board (Problem No. 1)
-2--- :
----- : Solutions (2 Moves, 3 Steps) ... 1
---3- : Other solutions (2 Moves) ...... 0
-X--- : Positions evaluated ............ 10

1-D X-UR

--1-- : Board (Problem No. 2)
----2 :
3---- : Solutions (2 Moves, 12 Steps) .. 1
---4- : Other solutions (2 Moves) ...... 0
5X--- : Positions evaluated ............ 32

5-URURDL X-URURDL

-X--- : Board (Problem No. 3)
-1--Y :
----- : Solutions (4 Moves, 8 Steps) ... 1
-2--3 : Other solutions (4 Moves) ...... 0
----- : Positions evaluated ............ 508

1-D 2-R X-DRDL Y-DL

1-2-3 : Board (Problem No. 4)
----- :
4---- : Solutions (6 Moves, 15 Steps) .. 2
----- : Other solutions (6 Moves) ...... 0
5---X : Positions evaluated ............ 11,739

2-R 3-D X-L 5-URU 2-LDRUL X-URUL
4-D 5-R X-U 3-LDL 4-URDLU X-LDLU

X--1- : Board (Problem No. 5)
----- :
----2 : Solutions (10 Moves, 11 Steps) . 1
---34 : Other solutions (10 Moves) ..... 0
5---- : Positions evaluated ............ 58

1-L X-D 3-L 4-L 3-U X-R 3-D 1-D 3-R X-UR

-X--- : Board (Problem No. 6)
----1 :
2---- : Solutions (4 Moves, 15 Steps) .. 1
----- : Other solutions (4 Moves) ...... 0
34--5 : Positions evaluated ............ 1,126

4-R 5-ULURD 4-LURDL X-DRDL

X--12 : Board (Problem No. 7)
----- :
----- : Solutions (16 Moves, 23 Steps) . 8
----Y : Other solutions (16 Moves) ..... 0
-3--4 : Positions evaluated ............ 19,170

Y-U 1-L 2-L 1-D X-R 1-UR X-D 3-R 1-DLU 4-U Y-LDL 1-D 2-D 1-RD Y-U X-RU
Y-U 1-L 2-L 1-D X-R 1-UR X-D 3-R 1-DLU 4-U Y-LDL 1-D 4-LD 1-U Y-U X-RU
Y-U 1-L 2-L 1-D X-R 1-UR X-D 3-R 4-U 1-DLU Y-LDL 1-D 2-D 1-RD Y-U X-RU
Y-U 1-L 2-L 1-D X-R 1-UR X-D 3-R 4-U 1-DLU Y-LDL 1-D 4-LD 1-U Y-U X-RU
1-L Y-U 2-L 1-D X-R 1-UR X-D 3-R 1-DLU 4-U Y-LDL 1-D 2-D 1-RD Y-U X-RU
1-L Y-U 2-L 1-D X-R 1-UR X-D 3-R 1-DLU 4-U Y-LDL 1-D 4-LD 1-U Y-U X-RU
1-L Y-U 2-L 1-D X-R 1-UR X-D 3-R 4-U 1-DLU Y-LDL 1-D 2-D 1-RD Y-U X-RU
1-L Y-U 2-L 1-D X-R 1-UR X-D 3-R 4-U 1-DLU Y-LDL 1-D 4-LD 1-U Y-U X-RU

-X-Y- : Board (Problem No. 8)
----1 :
----- : Solutions (11 Moves, 23 Steps) . 3
Z-2-- : Other solutions (11 Moves) ..... 0
---3- : Positions evaluated ............ 15,860

Y-D 2-LURD Y-LUR 2-DLUR Y-D 1-LD Y-L X-DR 1-D Y-RU Z-RU
Y-D 2-LURD Y-LUR 2-DLUR Y-D 1-LD Y-L X-DR 3-U Y-RU Z-RU
Y-D 2-LURD Y-LUR 2-DLUR Y-D 1-LD Y-L 3-U X-DR Y-RU Z-RU

Figure 11

Configurations ......................... 8
Configurations with solutions .......... 8
  With all pieces significant .......... 8
  With insignificant pieces ............ 0

Most moves for minimum solution ........ 22
Most steps for minimum solution ........ 40
Most solutions ......................... 15

                  Steps...
Moves  Count....  Min  Max
-----  ---------  ---  ---
    2          1    4    4
    3          1    4    4
    4          1    6    6
    5          1    8    8
    7          1   11   11
   11          1   33   33
   18          1   29   29
   22          1   40   40

  ---   : Board (Problem No. 1)
  ---   :
----1-X : Solutions (2 Moves, 4 Steps) ... 1
-2----3 : Other solutions (2 Moves) ...... 0
-----4- : Positions evaluated ............ 21
  ---   :
  ---   :

3-L X-LDL

  ---   : Board (Problem No. 2)
  1--   :
----2-- : Solutions (3 Moves, 4 Steps) ... 1
------- : Other solutions (3 Moves) ...... 0
------- : Positions evaluated ............ 17
  ---   :
  3-X   :

X-L 3-UR X-U

  X-1   : Board (Problem No. 3)
  ---   :
------- : Solutions (4 Moves, 6 Steps) ... 2
--2-3-- : Other solutions (4 Moves) ...... 0
------- : Positions evaluated ............ 439
  ---   :
  4--   :

1-L 4-U 2-RU X-DR
4-U 1-L 2-RU X-DR

  X--   : Board (Problem No. 4)
  ---   :
-1Y-2-- : Solutions (5 Moves, 8 Steps) ... 1
------- : Other solutions (5 Moves) ...... 1
--3---- : Positions evaluated ............ 1,109
  -4-   :
  ---   :

3-U Y-RD X-DRD 1-R Y-U

  XYZ   : Board (Problem No. 5)
  123   :
------- : Solutions (7 Moves, 11 Steps) .. 4
------- : Other solutions (7 Moves) ...... 0
------- : Positions evaluated ............ 154,660
  ---   :
  4-5   :

4-R 2-D 5-U 3-LD Y-D X-RD Z-DLD
4-R 5-U 2-D 3-LD Y-D X-RD Z-DLD
5-L 2-D 4-U 1-RD Y-D Z-LD X-DRD
5-L 4-U 2-D 1-RD Y-D Z-LD X-DRD

  XYZ   : Board (Problem No. 6)
  1--   :
23----- : Solutions (18 Moves, 29 Steps) . 14
------- : Other solutions (18 Moves) ..... 0
------4 : Positions evaluated ............ 348,577
  5--   :
  ---   :

1-DR X-D 1-L 4-L 1-U X-RU 3-RDRU X-L 1-D Y-D X-RD 1-L 3-ULD Z-DL X-RU 3-DR X-D Y-D
1-DR X-D 1-L 4-L 1-U X-RU 3-RDRU X-L 1-D Y-D X-RD 1-L 3-ULD Z-DL X-RU 5-UR X-D Y-D
1-DR X-D 1-L 4-L 1-U X-RU 3-RDRU X-L 1-D Y-D X-RD 1-L 3-ULD X-RU Z-DL 3-DR X-D Y-D
1-DR X-D 1-L 4-L 1-U X-RU 3-RDRU X-L 1-D Y-D X-RD 1-L 3-ULD X-RU Z-DL 5-UR X-D Y-D
1-DR X-D 1-L 4-L 1-U X-RU 3-RDRU X-L 1-D Y-D X-RD 1-L 3-ULD X-RU 5-UR Z-DL X-D Y-D
1-DR X-D 1-L 4-L 1-U X-RU 3-RDRU X-L 1-D Y-D X-RD 1-L 3-ULD X-RU 5-UR X-D Z-DL Y-D
1-DR X-D 1-L 4-L 1-U X-RU 3-RDRU X-L 1-D Y-D X-RD 1-L 3-ULD X-RU 5-UR X-D Y-D Z-DL
1-DR X-D 1-L 4-L 1-U X-RU 3-RDRU X-L 1-D X-RD Y-D 1-L 3-ULD Z-DL X-RU 3-DR X-D Y-D
1-DR X-D 1-L 4-L 1-U X-RU 3-RDRU X-L 1-D X-RD Y-D 1-L 3-ULD Z-DL X-RU 5-UR X-D Y-D
1-DR X-D 1-L 4-L 1-U X-RU 3-RDRU X-L 1-D X-RD Y-D 1-L 3-ULD X-RU Z-DL 3-DR X-D Y-D
1-DR X-D 1-L 4-L 1-U X-RU 3-RDRU X-L 1-D X-RD Y-D 1-L 3-ULD X-RU Z-DL 5-UR X-D Y-D
1-DR X-D 1-L 4-L 1-U X-RU 3-RDRU X-L 1-D X-RD Y-D 1-L 3-ULD X-RU 5-UR Z-DL X-D Y-D
1-DR X-D 1-L 4-L 1-U X-RU 3-RDRU X-L 1-D X-RD Y-D 1-L 3-ULD X-RU 5-UR X-D Z-DL Y-D
1-DR X-D 1-L 4-L 1-U X-RU 3-RDRU X-L 1-D X-RD Y-D 1-L 3-ULD X-RU 5-UR X-D Y-D Z-DL

  ---   : Board (Problem No. 7)
  1--   :
-----2X : Solutions (11 Moves, 33 Steps) . 2
3----4Y : Other solutions (11 Moves) ..... 0
------Z : Positions evaluated ............ 193,628
  -5-   :
  ---   :

4-L Y-LUR X-DLURDR 2-DLURD X-LULURD Z-LULUR 2-U 4-RU 2-D Z-D Y-LD
4-L Y-LUR X-DLURDR 2-DLURD X-LULURD Z-LULUR 2-U 5-U 2-LU Z-D Y-LD

  X12   : Board (Problem No. 8)
  ---   :
-3---45 : Solutions (22 Moves, 40 Steps) . 15
------- : Other solutions (22 Moves) ..... 90
Y------ : Positions evaluated ............ 2,721,999
  --Z   :
  ---   :

2-DL 4-L X-D 4-R 3-RDLU 4-L 1-D 4-R 3-RD 2-RU 4-L 5-L 3-L 4-DLU 2-RDL 4-D X-DRD 2-RUR 3-RU Y-RU X-UL Z-UL
2-DL 4-L X-D 4-R 3-RDLU 4-L 1-D 4-R 3-RD 2-RU 4-L 3-L 5-L 4-DLU 2-RDL 4-D X-DRD 2-RUR 3-RU Y-RU X-UL Z-UL
2-DL 4-L X-D 4-R 3-RDLU 4-L 1-D 4-R 3-RD 2-RU 3-L 4-L 5-L 4-DLU 2-RDL 4-D X-DRD 2-RUR 3-RU Y-RU X-UL Z-UL
4-L X-D 2-DL 4-R 3-RDLU 4-L 1-D 4-R 3-RD 2-RU 4-L 5-L 3-L 4-DLU 2-RDL 4-D X-DRD 2-RUR 3-RU Y-RU X-UL Z-UL
4-L X-D 2-DL 4-R 3-RDLU 4-L 1-D 4-R 3-RD 2-RU 4-L 3-L 5-L 4-DLU 2-RDL 4-D X-DRD 2-RUR 3-RU Y-RU X-UL Z-UL
4-L X-D 2-DL 4-R 3-RDLU 4-L 1-D 4-R 3-RD 2-RU 3-L 4-L 5-L 4-DLU 2-RDL 4-D X-DRD 2-RUR 3-RU Y-RU X-UL Z-UL
4-L X-D 4-R 2-DL 3-RDLU 4-L 1-D 4-R 3-RD 2-RU 4-L 5-L 3-L 4-DLU 2-RDL 4-D X-DRD 2-RUR 3-RU Y-RU X-UL Z-UL
4-L X-D 4-R 2-DL 3-RDLU 4-L 1-D 4-R 3-RD 2-RU 4-L 3-L 5-L 4-DLU 2-RDL 4-D X-DRD 2-RUR 3-RU Y-RU X-UL Z-UL
4-L X-D 4-R 2-DL 3-RDLU 4-L 1-D 4-R 3-RD 2-RU 3-L 4-L 5-L 4-DLU 2-RDL 4-D X-DRD 2-RUR 3-RU Y-RU X-UL Z-UL
4-L X-D 4-R 3-RDL 2-DLU 4-L 1-D 4-R 2-RD 3-RU 4-L 5-L 2-L 4-DLU 3-RDL 4-D X-DRD 3-RUR 2-RU Y-RU X-UL Z-UL
4-L X-D 4-R 3-RDL 2-DLU 4-L 1-D 4-R 2-RD 3-RU 4-L 2-L 5-L 4-DLU 3-RDL 4-D X-DRD 3-RUR 2-RU Y-RU X-UL Z-UL
4-L X-D 4-R 3-RDL 2-DLU 4-L 1-D 4-R 2-RD 3-RU 2-L 4-L 5-L 4-DLU 3-RDL 4-D X-DRD 3-RUR 2-RU Y-RU X-UL Z-UL
4-L 2-DL X-D 4-R 3-RDLU 4-L 1-D 4-R 3-RD 2-RU 4-L 5-L 3-L 4-DLU 2-RDL 4-D X-DRD 2-RUR 3-RU Y-RU X-UL Z-UL
4-L 2-DL X-D 4-R 3-RDLU 4-L 1-D 4-R 3-RD 2-RU 4-L 3-L 5-L 4-DLU 2-RDL 4-D X-DRD 2-RUR 3-RU Y-RU X-UL Z-UL
4-L 2-DL X-D 4-R 3-RDLU 4-L 1-D 4-R 3-RD 2-RU 3-L 4-L 5-L 4-DLU 2-RDL 4-D X-DRD 2-RUR 3-RU Y-RU X-UL Z-UL