Detailed Solutions to Chapter II
------------------------------------------------
Detailed Solution to problem number, 1
0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0
1, 0, 0, 1, 0, 0, 0
2, 0, 0, 2, 0, 1, 0
2, 0, 1, 2, 0, 1, 0
1, 2, 1, 2, 1, 2, 2
---------------------------------------------------
Red wins in, 2, moves by putting its piece(1) in column, 3
resulting in position
0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0
1, 0, 0, 1, 0, 0, 0
2, 0, 1, 2, 0, 1, 0
2, 0, 1, 2, 0, 1, 0
1, 2, 1, 2, 1, 2, 2
This is double-or-nothing in columns, 2, 3
------------------------------------------------
Detailed Solution to problem number, 2
0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0
0, 0, 2, 0, 0, 0, 0
2, 0, 2, 1, 1, 2, 0
2, 0, 1, 2, 2, 1, 0
1, 0, 1, 2, 1, 1, 0
---------------------------------------------------
Red wins in, 2, moves by putting its piece(1) in column, 4
resulting in position
0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0
0, 0, 2, 1, 0, 0, 0
2, 0, 2, 1, 1, 2, 0
2, 0, 1, 2, 2, 1, 0
1, 0, 1, 2, 1, 1, 0
This is double-or-nothing in columns, 3, 7
------------------------------------------------
Detailed Solution to problem number, 3
0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0
0, 2, 2, 0, 0, 1, 2
0, 2, 1, 0, 0, 2, 1
0, 1, 2, 0, 0, 1, 1
0, 1, 1, 0, 0, 2, 2
---------------------------------------------------
Red wins in, 2, moves by putting its piece(1) in column, 4
resulting in position
0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0
0, 2, 2, 0, 0, 1, 2
0, 2, 1, 0, 0, 2, 1
0, 1, 2, 0, 0, 1, 1
0, 1, 1, 1, 0, 2, 2
This is double-or-nothing in columns, 1, 5
------------------------------------------------
Detailed Solution to problem number, 4
0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0
2, 2, 0, 0, 0, 1, 1
1, 1, 0, 0, 0, 1, 2
2, 1, 0, 0, 0, 2, 2
2, 2, 0, 0, 0, 1, 1
---------------------------------------------------
Red wins in, 2, moves by putting its piece(1) in column, 4
resulting in position
0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0
2, 2, 0, 0, 0, 1, 1
1, 1, 0, 0, 0, 1, 2
2, 1, 0, 0, 0, 2, 2
2, 2, 0, 1, 0, 1, 1
Indeed, the reasonable moves of Black are to place its piece(2) in columns, 5
If Black goes in column, 5, then the position is
0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0
2, 2, 0, 0, 0, 1, 1
1, 1, 0, 0, 0, 1, 2
2, 1, 0, 0, 0, 2, 2
2, 2, 0, 1, 2, 1, 1
Red can win immediately by moving in column, 5
resulting in position
0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0
2, 2, 0, 0, 0, 1, 1
1, 1, 0, 0, 0, 1, 2
2, 1, 0, 0, 1, 2, 2
2, 2, 0, 1, 2, 1, 1
------------------------------------------------
Detailed Solution to problem number, 5
0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0
0, 2, 0, 0, 0, 0, 0
2, 1, 0, 0, 2, 1, 2
1, 2, 0, 0, 1, 1, 2
1, 1, 0, 0, 2, 2, 1
---------------------------------------------------
Red wins in, 2, moves by putting its piece(1) in column, 4
resulting in position
0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0
0, 2, 0, 0, 0, 0, 0
2, 1, 0, 0, 2, 1, 2
1, 2, 0, 0, 1, 1, 2
1, 1, 0, 1, 2, 2, 1
This is double-or-nothing in columns, 3, 7
------------------------------------------------
Detailed Solution to problem number, 6
0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0
1, 0, 0, 1, 0, 0, 0
2, 2, 1, 2, 1, 1, 2
2, 1, 2, 1, 1, 2, 2
---------------------------------------------------
Red wins in, 2, moves by putting its piece(1) in column, 2
resulting in position
0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0
1, 1, 0, 1, 0, 0, 0
2, 2, 1, 2, 1, 1, 2
2, 1, 2, 1, 1, 2, 2
This is double-or-nothing in columns, 1, 3
------------------------------------------------
Detailed Solution to problem number, 7
0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0
0, 0, 2, 0, 0, 1, 0
0, 0, 2, 0, 1, 1, 1
0, 1, 1, 0, 1, 2, 2
0, 1, 2, 0, 2, 2, 2
---------------------------------------------------
Red wins in, 2, moves by putting its piece(1) in column, 4
resulting in position
0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0
0, 0, 2, 0, 0, 1, 0
0, 0, 2, 0, 1, 1, 1
0, 1, 1, 0, 1, 2, 2
0, 1, 2, 1, 2, 2, 2
This is double-or-nothing in columns, 4, 7
------------------------------------------------
Detailed Solution to problem number, 8
0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0
2, 0, 0, 0, 0, 1, 2
2, 0, 0, 0, 1, 2, 1
1, 0, 0, 0, 2, 1, 2
1, 0, 1, 0, 1, 2, 2
---------------------------------------------------
Red wins in, 2, moves by putting its piece(1) in column, 4
resulting in position
0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0
2, 0, 0, 0, 0, 1, 2
2, 0, 0, 0, 1, 2, 1
1, 0, 0, 0, 2, 1, 2
1, 0, 1, 1, 1, 2, 2
This is double-or-nothing in columns, 2, 4
------------------------------------------------
Detailed Solution to problem number, 9
0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 2, 0, 0
2, 2, 1, 0, 1, 1, 0
1, 1, 1, 0, 2, 2, 0
2, 1, 2, 0, 1, 2, 0
---------------------------------------------------
Red wins in, 2, moves by putting its piece(1) in column, 4
resulting in position
0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 2, 0, 0
2, 2, 1, 0, 1, 1, 0
1, 1, 1, 0, 2, 2, 0
2, 1, 2, 1, 1, 2, 0
Indeed, the reasonable moves of Black are to place its piece(2) in columns, 4
If Black goes in column, 4, then the position is
0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 2, 0, 0
2, 2, 1, 0, 1, 1, 0
1, 1, 1, 2, 2, 2, 0
2, 1, 2, 1, 1, 2, 0
Red can win immediately by moving in column, 4
resulting in position
0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 2, 0, 0
2, 2, 1, 1, 1, 1, 0
1, 1, 1, 2, 2, 2, 0
2, 1, 2, 1, 1, 2, 0
------------------------------------------------
Detailed Solution to problem number, 10
0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0
1, 0, 0, 1, 0, 1, 0
2, 1, 0, 1, 2, 2, 2
2, 1, 1, 2, 2, 2, 1
---------------------------------------------------
Red wins in, 2, moves by putting its piece(1) in column, 5
resulting in position
0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0
1, 0, 0, 1, 1, 1, 0
2, 1, 0, 1, 2, 2, 2
2, 1, 1, 2, 2, 2, 1
This is double-or-nothing in columns, 6, 7
------------------------------------------------
Detailed Solution to problem number, 11
0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0
0, 1, 0, 0, 0, 0, 0
2, 2, 0, 2, 0, 1, 0
2, 2, 0, 2, 1, 1, 0
1, 2, 0, 1, 1, 2, 1
---------------------------------------------------
Red wins in, 2, moves by putting its piece(1) in column, 5
resulting in position
0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0
0, 1, 0, 0, 0, 0, 0
2, 2, 0, 2, 1, 1, 0
2, 2, 0, 2, 1, 1, 0
1, 2, 0, 1, 1, 2, 1
This is double-or-nothing in columns, 4, 5
------------------------------------------------
Detailed Solution to problem number, 12
0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0
1, 2, 0, 0, 1, 2, 0
2, 1, 0, 0, 2, 2, 0
2, 1, 0, 0, 2, 1, 0
1, 1, 0, 0, 1, 2, 0
---------------------------------------------------
Red wins in, 2, moves by putting its piece(1) in column, 4
resulting in position
0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0
1, 2, 0, 0, 1, 2, 0
2, 1, 0, 0, 2, 2, 0
2, 1, 0, 0, 2, 1, 0
1, 1, 0, 1, 1, 2, 0
Indeed, the reasonable moves of Black are to place its piece(2) in columns, 3
If Black goes in column, 3, then the position is
0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0
1, 2, 0, 0, 1, 2, 0
2, 1, 0, 0, 2, 2, 0
2, 1, 0, 0, 2, 1, 0
1, 1, 2, 1, 1, 2, 0
------------------------------------------------
Detailed Solution to problem number, 13
0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0
2, 0, 0, 0, 0, 0, 2
2, 0, 2, 0, 0, 0, 1
1, 0, 1, 0, 0, 1, 1
1, 2, 1, 2, 2, 1, 2
---------------------------------------------------
Red wins in, 2, moves by putting its piece(1) in column, 4
resulting in position
0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0
2, 0, 0, 0, 0, 0, 2
2, 0, 2, 0, 0, 0, 1
1, 0, 1, 1, 0, 1, 1
1, 2, 1, 2, 2, 1, 2
This is double-or-nothing in columns, 2, 5
------------------------------------------------
Detailed Solution to problem number, 14
0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0
0, 0, 1, 2, 0, 2, 0
0, 0, 2, 1, 0, 1, 0
0, 0, 1, 1, 1, 2, 2
0, 0, 1, 1, 2, 2, 2
---------------------------------------------------
Red wins in, 2, moves by putting its piece(1) in column, 5
resulting in position
0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0
0, 0, 1, 2, 0, 2, 0
0, 0, 2, 1, 1, 1, 0
0, 0, 1, 1, 1, 2, 2
0, 0, 1, 1, 2, 2, 2
Indeed, the reasonable moves of Black are to place its piece(2) in columns, 7
If Black goes in column, 7, then the position is
0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0
0, 0, 1, 2, 0, 2, 0
0, 0, 2, 1, 1, 1, 2
0, 0, 1, 1, 1, 2, 2
0, 0, 1, 1, 2, 2, 2
Red can win immediately by moving in column, 7
resulting in position
0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0
0, 0, 1, 2, 0, 2, 1
0, 0, 2, 1, 1, 1, 2
0, 0, 1, 1, 1, 2, 2
0, 0, 1, 1, 2, 2, 2
------------------------------------------------
Detailed Solution to problem number, 15
0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 1
0, 0, 0, 1, 0, 1, 2
2, 1, 2, 1, 0, 2, 2
1, 1, 2, 2, 0, 1, 2
---------------------------------------------------
Red wins in, 2, moves by putting its piece(1) in column, 4
resulting in position
0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0
0, 0, 0, 1, 0, 0, 1
0, 0, 0, 1, 0, 1, 2
2, 1, 2, 1, 0, 2, 2
1, 1, 2, 2, 0, 1, 2
This is double-or-nothing in columns, 3, 4
------------------------------------------------
Detailed Solution to problem number, 16
0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0
0, 1, 2, 0, 0, 2, 0
0, 2, 1, 0, 0, 2, 0
2, 2, 2, 0, 1, 1, 0
1, 1, 2, 0, 1, 1, 0
---------------------------------------------------
Red wins in, 2, moves by putting its piece(1) in column, 7
resulting in position
0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0
0, 1, 2, 0, 0, 2, 0
0, 2, 1, 0, 0, 2, 0
2, 2, 2, 0, 1, 1, 0
1, 1, 2, 0, 1, 1, 1
Indeed, the reasonable moves of Black are to place its piece(2) in columns, 4
If Black goes in column, 4, then the position is
0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0
0, 1, 2, 0, 0, 2, 0
0, 2, 1, 0, 0, 2, 0
2, 2, 2, 0, 1, 1, 0
1, 1, 2, 2, 1, 1, 1
Red can win immediately by moving in column, 4
resulting in position
0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0
0, 1, 2, 0, 0, 2, 0
0, 2, 1, 0, 0, 2, 0
2, 2, 2, 1, 1, 1, 0
1, 1, 2, 2, 1, 1, 1
------------------------------------------------
Detailed Solution to problem number, 17
0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0
1, 1, 0, 0, 0, 0, 0
1, 1, 2, 1, 1, 2, 2
2, 2, 1, 2, 2, 1, 2
---------------------------------------------------
Red wins in, 2, moves by putting its piece(1) in column, 4
resulting in position
0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0
1, 1, 0, 1, 0, 0, 0
1, 1, 2, 1, 1, 2, 2
2, 2, 1, 2, 2, 1, 2
Indeed, the reasonable moves of Black are to place its piece(2) in columns, 3
If Black goes in column, 3, then the position is
0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0
1, 1, 2, 1, 0, 0, 0
1, 1, 2, 1, 1, 2, 2
2, 2, 1, 2, 2, 1, 2
Red can win immediately by moving in column, 3
resulting in position
0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0
0, 0, 1, 0, 0, 0, 0
1, 1, 2, 1, 0, 0, 0
1, 1, 2, 1, 1, 2, 2
2, 2, 1, 2, 2, 1, 2
------------------------------------------------
Detailed Solution to problem number, 18
0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0
0, 0, 0, 1, 0, 0, 2
2, 1, 1, 2, 2, 1, 2
1, 2, 2, 1, 2, 1, 1
---------------------------------------------------
Red wins in, 2, moves by putting its piece(1) in column, 4
resulting in position
0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0
0, 0, 0, 1, 0, 0, 0
0, 0, 0, 1, 0, 0, 2
2, 1, 1, 2, 2, 1, 2
1, 2, 2, 1, 2, 1, 1
This is double-or-nothing in columns, 3, 5
------------------------------------------------
Detailed Solution to problem number, 19
0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0
0, 0, 0, 2, 0, 0, 0
2, 0, 0, 1, 1, 0, 0
1, 2, 0, 2, 2, 2, 1
2, 1, 0, 1, 2, 1, 1
---------------------------------------------------
Red wins in, 2, moves by putting its piece(1) in column, 7
resulting in position
0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0
0, 0, 0, 2, 0, 0, 0
2, 0, 0, 1, 1, 0, 1
1, 2, 0, 2, 2, 2, 1
2, 1, 0, 1, 2, 1, 1
This is double-or-nothing in columns, 6, 7
------------------------------------------------
Detailed Solution to problem number, 20
0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0
0, 1, 2, 0, 1, 1, 0
0, 1, 1, 0, 2, 2, 2
2, 2, 1, 2, 1, 1, 2
---------------------------------------------------
Red wins in, 2, moves by putting its piece(1) in column, 4
resulting in position
0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0
0, 1, 2, 0, 1, 1, 0
0, 1, 1, 1, 2, 2, 2
2, 2, 1, 2, 1, 1, 2
This is double-or-nothing in columns, 1, 6
------------------------------------------------
Detailed Solution to problem number, 21
0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0
1, 0, 0, 0, 0, 0, 2
2, 1, 1, 1, 2, 2, 2
2, 1, 2, 1, 1, 2, 1
---------------------------------------------------
Red wins in, 2, moves by putting its piece(1) in column, 2
resulting in position
0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0
1, 1, 0, 0, 0, 0, 2
2, 1, 1, 1, 2, 2, 2
2, 1, 2, 1, 1, 2, 1
This is double-or-nothing in columns, 1, 2
------------------------------------------------
Detailed Solution to problem number, 22
0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0
0, 0, 2, 0, 0, 0, 0
0, 0, 1, 1, 0, 1, 1
0, 0, 2, 2, 0, 2, 2
1, 2, 1, 1, 1, 2, 2
---------------------------------------------------
Red wins in, 2, moves by putting its piece(1) in column, 5
resulting in position
0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0
0, 0, 2, 0, 0, 0, 0
0, 0, 1, 1, 0, 1, 1
0, 0, 2, 2, 1, 2, 2
1, 2, 1, 1, 1, 2, 2
This is double-or-nothing in columns, 5, 7
------------------------------------------------
Detailed Solution to problem number, 23
0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0
0, 1, 0, 0, 0, 1, 0
0, 1, 0, 0, 0, 2, 0
0, 2, 2, 0, 2, 2, 1
2, 1, 1, 2, 1, 1, 2
---------------------------------------------------
Red wins in, 2, moves by putting its piece(1) in column, 4
resulting in position
0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0
0, 1, 0, 0, 0, 1, 0
0, 1, 0, 0, 0, 2, 0
0, 2, 2, 1, 2, 2, 1
2, 1, 1, 2, 1, 1, 2
This is double-or-nothing in columns, 3, 5
------------------------------------------------
Detailed Solution to problem number, 24
0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0
0, 0, 1, 0, 1, 0, 0
1, 2, 1, 1, 2, 2, 2
1, 1, 2, 1, 2, 2, 2
---------------------------------------------------
Red wins in, 2, moves by putting its piece(1) in column, 4
resulting in position
0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0
0, 0, 1, 1, 1, 0, 0
1, 2, 1, 1, 2, 2, 2
1, 1, 2, 1, 2, 2, 2
This is double-or-nothing in columns, 2, 4, 5, 6
------------------------------------------------
Detailed Solution to problem number, 25
0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0
0, 2, 0, 2, 0, 1, 0
0, 2, 0, 1, 0, 1, 0
0, 1, 0, 1, 0, 2, 0
1, 2, 2, 1, 2, 2, 1
---------------------------------------------------
Red wins in, 2, moves by putting its piece(1) in column, 3
resulting in position
0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0
0, 2, 0, 2, 0, 1, 0
0, 2, 0, 1, 0, 1, 0
0, 1, 1, 1, 0, 2, 0
1, 2, 2, 1, 2, 2, 1
This is double-or-nothing in columns, 1, 5
------------------------------------------------
Detailed Solution to problem number, 26
0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 1, 0, 0
0, 1, 0, 0, 1, 0, 2
2, 2, 1, 1, 2, 0, 1
2, 2, 1, 2, 1, 0, 2
---------------------------------------------------
Red wins in, 2, moves by putting its piece(1) in column, 3
resulting in position
0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 1, 0, 0
0, 1, 1, 0, 1, 0, 2
2, 2, 1, 1, 2, 0, 1
2, 2, 1, 2, 1, 0, 2
This is double-or-nothing in columns, 2, 3, 4
------------------------------------------------
Detailed Solution to problem number, 27
0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0
2, 0, 0, 2, 0, 2, 0
1, 0, 0, 1, 0, 2, 0
2, 0, 0, 1, 0, 1, 0
2, 1, 1, 2, 1, 1, 2
---------------------------------------------------
Red wins in, 2, moves by putting its piece(1) in column, 5
resulting in position
0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0
2, 0, 0, 2, 0, 2, 0
1, 0, 0, 1, 0, 2, 0
2, 0, 0, 1, 1, 1, 0
2, 1, 1, 2, 1, 1, 2
This is double-or-nothing in columns, 3, 7
------------------------------------------------
Detailed Solution to problem number, 28
0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0
0, 0, 1, 0, 0, 0, 2
2, 1, 1, 2, 1, 2, 1
2, 2, 2, 1, 1, 1, 2
---------------------------------------------------
Red wins in, 2, moves by putting its piece(1) in column, 3
resulting in position
0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0
0, 0, 1, 0, 0, 0, 0
0, 0, 1, 0, 0, 0, 2
2, 1, 1, 2, 1, 2, 1
2, 2, 2, 1, 1, 1, 2
This is double-or-nothing in columns, 3, 4
------------------------------------------------
Detailed Solution to problem number, 29
0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0
0, 0, 2, 0, 0, 0, 0
1, 1, 2, 0, 0, 0, 0
1, 2, 1, 0, 1, 1, 1
2, 2, 2, 0, 2, 1, 2
---------------------------------------------------
Red wins in, 2, moves by putting its piece(1) in column, 4
resulting in position
0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0
0, 0, 2, 0, 0, 0, 0
1, 1, 2, 0, 0, 0, 0
1, 2, 1, 0, 1, 1, 1
2, 2, 2, 1, 2, 1, 2
This is double-or-nothing in columns, 1, 4
------------------------------------------------
Detailed Solution to problem number, 30
0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0
0, 0, 2, 0, 0, 0, 0
1, 0, 1, 2, 0, 0, 2
2, 0, 1, 1, 0, 0, 1
2, 2, 1, 1, 2, 1, 2
---------------------------------------------------
Red wins in, 2, moves by putting its piece(1) in column, 5
resulting in position
0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0
0, 0, 2, 0, 0, 0, 0
1, 0, 1, 2, 0, 0, 2
2, 0, 1, 1, 1, 0, 1
2, 2, 1, 1, 2, 1, 2
This is double-or-nothing in columns, 2, 6
------------------------------------------------
Detailed Solution to problem number, 31
0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0
0, 0, 1, 0, 0, 0, 0
1, 0, 1, 0, 0, 0, 0
1, 2, 2, 1, 2, 1, 0
2, 2, 2, 1, 2, 1, 2
---------------------------------------------------
Red wins in, 2, moves by putting its piece(1) in column, 4
resulting in position
0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0
0, 0, 1, 0, 0, 0, 0
1, 0, 1, 1, 0, 0, 0
1, 2, 2, 1, 2, 1, 0
2, 2, 2, 1, 2, 1, 2
This is double-or-nothing in columns, 2, 4
------------------------------------------------
Detailed Solution to problem number, 32
0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0
0, 1, 0, 0, 0, 0, 1
0, 2, 0, 2, 0, 0, 2
1, 2, 0, 1, 0, 0, 1
2, 2, 1, 1, 2, 2, 1
---------------------------------------------------
Red wins in, 2, moves by putting its piece(1) in column, 5
resulting in position
0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0
0, 1, 0, 0, 0, 0, 1
0, 2, 0, 2, 0, 0, 2
1, 2, 0, 1, 1, 0, 1
2, 2, 1, 1, 2, 2, 1
Indeed, the reasonable moves of Black are to place its piece(2) in columns, 6
If Black goes in column, 6, then the position is
0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0
0, 1, 0, 0, 0, 0, 1
0, 2, 0, 2, 0, 0, 2
1, 2, 0, 1, 1, 2, 1
2, 2, 1, 1, 2, 2, 1
Red can win immediately by moving in column, 6
resulting in position
0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0
0, 1, 0, 0, 0, 0, 1
0, 2, 0, 2, 0, 1, 2
1, 2, 0, 1, 1, 2, 1
2, 2, 1, 1, 2, 2, 1
------------------------------------------------
Detailed Solution to problem number, 33
0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0
0, 0, 0, 2, 2, 2, 0
0, 0, 0, 1, 1, 1, 0
0, 1, 0, 1, 1, 2, 0
2, 1, 0, 2, 2, 2, 1
---------------------------------------------------
Red wins in, 2, moves by putting its piece(1) in column, 3
resulting in position
0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0
0, 0, 0, 2, 2, 2, 0
0, 0, 0, 1, 1, 1, 0
0, 1, 0, 1, 1, 2, 0
2, 1, 1, 2, 2, 2, 1
Indeed, the reasonable moves of Black are to place its piece(2) in columns, 3
If Black goes in column, 3, then the position is
0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0
0, 0, 0, 2, 2, 2, 0
0, 0, 0, 1, 1, 1, 0
0, 1, 2, 1, 1, 2, 0
2, 1, 1, 2, 2, 2, 1
Red can win immediately by moving in column, 3
resulting in position
0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0
0, 0, 0, 2, 2, 2, 0
0, 0, 1, 1, 1, 1, 0
0, 1, 2, 1, 1, 2, 0
2, 1, 1, 2, 2, 2, 1
------------------------------------------------
Detailed Solution to problem number, 34
0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0
0, 0, 2, 0, 0, 1, 0
0, 0, 2, 0, 0, 1, 2
0, 0, 1, 1, 0, 2, 1
1, 2, 2, 2, 1, 2, 1
---------------------------------------------------
Red wins in, 2, moves by putting its piece(1) in column, 2
resulting in position
0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0
0, 0, 2, 0, 0, 1, 0
0, 0, 2, 0, 0, 1, 2
0, 1, 1, 1, 0, 2, 1
1, 2, 2, 2, 1, 2, 1
This is double-or-nothing in columns, 1, 5
------------------------------------------------
Detailed Solution to problem number, 35
0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0
0, 0, 2, 0, 0, 0, 0
2, 0, 2, 0, 0, 1, 2
1, 0, 1, 0, 0, 1, 1
1, 2, 2, 2, 1, 2, 1
---------------------------------------------------
Red wins in, 2, moves by putting its piece(1) in column, 4
resulting in position
0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0
0, 0, 2, 0, 0, 0, 0
2, 0, 2, 0, 0, 1, 2
1, 0, 1, 1, 0, 1, 1
1, 2, 2, 2, 1, 2, 1
This is double-or-nothing in columns, 2, 5
------------------------------------------------
Detailed Solution to problem number, 36
0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0
1, 0, 2, 0, 0, 2, 1
2, 1, 1, 2, 0, 1, 2
2, 1, 2, 1, 0, 1, 2
---------------------------------------------------
Red wins in, 2, moves by putting its piece(1) in column, 2
resulting in position
0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0
1, 1, 2, 0, 0, 2, 1
2, 1, 1, 2, 0, 1, 2
2, 1, 2, 1, 0, 1, 2
This is double-or-nothing in columns, 1, 2
------------------------------------------------
Detailed Solution to problem number, 37
0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0
0, 0, 2, 0, 0, 0, 1
0, 1, 1, 0, 0, 0, 2
0, 2, 1, 2, 0, 1, 2
0, 1, 2, 1, 2, 1, 2
---------------------------------------------------
Red wins in, 2, moves by putting its piece(1) in column, 6
resulting in position
0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0
0, 0, 2, 0, 0, 0, 1
0, 1, 1, 0, 0, 1, 2
0, 2, 1, 2, 0, 1, 2
0, 1, 2, 1, 2, 1, 2
This is double-or-nothing in columns, 5, 6
------------------------------------------------
Detailed Solution to problem number, 38
0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 1
0, 0, 0, 1, 0, 0, 2
1, 2, 0, 2, 1, 1, 2
2, 1, 2, 2, 1, 2, 1
---------------------------------------------------
Red wins in, 2, moves by putting its piece(1) in column, 5
resulting in position
0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 1
0, 0, 0, 1, 1, 0, 2
1, 2, 0, 2, 1, 1, 2
2, 1, 2, 2, 1, 2, 1
This is double-or-nothing in columns, 4, 5
------------------------------------------------
Detailed Solution to problem number, 39
0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0
2, 0, 1, 1, 1, 0, 2
1, 0, 2, 2, 2, 0, 2
1, 1, 2, 2, 1, 0, 1
---------------------------------------------------
Red wins in, 2, moves by putting its piece(1) in column, 2
resulting in position
0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0
2, 0, 1, 1, 1, 0, 2
1, 1, 2, 2, 2, 0, 2
1, 1, 2, 2, 1, 0, 1
This is double-or-nothing in columns, 2, 4
------------------------------------------------
Detailed Solution to problem number, 40
0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0
0, 0, 2, 0, 0, 2, 0
0, 0, 1, 0, 0, 1, 0
1, 0, 2, 1, 2, 2, 0
1, 2, 1, 1, 2, 1, 2
---------------------------------------------------
Red wins in, 2, moves by putting its piece(1) in column, 4
resulting in position
0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0
0, 0, 2, 0, 0, 2, 0
0, 0, 1, 1, 0, 1, 0
1, 0, 2, 1, 2, 2, 0
1, 2, 1, 1, 2, 1, 2
This is double-or-nothing in columns, 4, 5
------------------------------------------------
Detailed Solution to problem number, 41
0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0
2, 0, 2, 0, 0, 0, 0
1, 0, 1, 0, 0, 0, 1
2, 1, 2, 1, 0, 0, 2
1, 2, 1, 2, 0, 1, 2
---------------------------------------------------
Red wins in, 2, moves by putting its piece(1) in column, 2
resulting in position
0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0
2, 0, 2, 0, 0, 0, 0
1, 1, 1, 0, 0, 0, 1
2, 1, 2, 1, 0, 0, 2
1, 2, 1, 2, 0, 1, 2
Indeed, the reasonable moves of Black are to place its piece(2) in columns, 4
If Black goes in column, 4, then the position is
0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0
2, 0, 2, 0, 0, 0, 0
1, 1, 1, 2, 0, 0, 1
2, 1, 2, 1, 0, 0, 2
1, 2, 1, 2, 0, 1, 2
Red can win immediately by moving in column, 4
resulting in position
0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0
2, 0, 2, 1, 0, 0, 0
1, 1, 1, 2, 0, 0, 1
2, 1, 2, 1, 0, 0, 2
1, 2, 1, 2, 0, 1, 2
------------------------------------------------
Detailed Solution to problem number, 42
0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0
0, 0, 0, 2, 0, 1, 0
0, 0, 0, 1, 0, 1, 0
2, 2, 0, 1, 2, 2, 2
1, 1, 0, 2, 2, 1, 1
---------------------------------------------------
Red wins in, 2, moves by putting its piece(1) in column, 5
resulting in position
0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0
0, 0, 0, 2, 0, 1, 0
0, 0, 0, 1, 1, 1, 0
2, 2, 0, 1, 2, 2, 2
1, 1, 0, 2, 2, 1, 1
This is double-or-nothing in columns, 3, 7
------------------------------------------------
Detailed Solution to problem number, 43
0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0
0, 0, 0, 2, 0, 0, 0
1, 0, 1, 2, 0, 0, 1
2, 0, 1, 1, 0, 0, 2
2, 1, 2, 1, 1, 2, 2
---------------------------------------------------
Red wins in, 2, moves by putting its piece(1) in column, 5
resulting in position
0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0
0, 0, 0, 2, 0, 0, 0
1, 0, 1, 2, 0, 0, 1
2, 0, 1, 1, 1, 0, 2
2, 1, 2, 1, 1, 2, 2
This is double-or-nothing in columns, 2, 6
------------------------------------------------
Detailed Solution to problem number, 44
0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0
2, 1, 0, 0, 0, 0, 2
1, 1, 0, 0, 0, 0, 2
2, 2, 1, 0, 0, 0, 1
2, 1, 2, 2, 1, 0, 1
---------------------------------------------------
Red wins in, 2, moves by putting its piece(1) in column, 3
resulting in position
0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0
2, 1, 0, 0, 0, 0, 2
1, 1, 1, 0, 0, 0, 2
2, 2, 1, 0, 0, 0, 1
2, 1, 2, 2, 1, 0, 1
Indeed, the reasonable moves of Black are to place its piece(2) in columns, 4
If Black goes in column, 4, then the position is
0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0
2, 1, 0, 0, 0, 0, 2
1, 1, 1, 0, 0, 0, 2
2, 2, 1, 2, 0, 0, 1
2, 1, 2, 2, 1, 0, 1
Red can win immediately by moving in column, 4
resulting in position
0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0
2, 1, 0, 0, 0, 0, 2
1, 1, 1, 1, 0, 0, 2
2, 2, 1, 2, 0, 0, 1
2, 1, 2, 2, 1, 0, 1
Table of Contents for Win-In-Two-Moves Problems