With exacty seven horizontal or vertical jumps, remove all seven red checkers leaving the single black checker.
There's 8 pieces on a grid, the black is in A1 and and reds are in A2 A3 A4 B1 B2 B3 B4.
According to instructions, the pieces are placed thus:
RRRR
BRRR
or see page 6 of the following link for a visual illustration.
http://www.redmond.k12.or.us/14552011718214563/lib/14552011718214563/Lesson_1.7.pdf
According to the rules of checkers, jumps are made diagonally, and a jump must land on a vacant square.
It can be done in one move if
1. diagonal jumps are permitted, and
2. the black piece can jump forward and backwards, like a king, and
3a. the black piece can land on and capture a red piece, or
3b. if A3 is vacant (i.e. capturing a total of only 6 red pieces).
The move is A1*A3*A5*C3*A3*C1*A1 where * denotes a capture.
It doesn't say you can make diagonal moves which is why I'm confused
It doesn't say the captures have to be done in one single move either. In any case, I do not see ways of doing it either. If you find the answer, please post it for the benefit of readers.
To solve this puzzle, we can follow these steps:
Step 1: Identify the possible moves for the black checker in A1.
- The black checker can move horizontally to B1 or vertically to A2.
Step 2: Analyze the possible moves for each red checker.
- The red checker in A2 can move horizontally to B2 or vertically to A3.
- The red checker in A3 can move horizontally to B3 or vertically to A2 or A4.
- The red checker in A4 can move horizontally to B4 or vertically to A3.
- The red checker in B1 can move horizontally to A1 or vertically to B2.
- The red checker in B2 can move horizontally to A2 or B1, or vertically to B3.
- The red checker in B3 can move horizontally to A3 or B2, or vertically to B4.
- The red checker in B4 can move horizontally to A4 or vertically to B3.
Step 3: Plan the sequence of moves to remove the red checkers.
Based on the possible moves identified, we need to create a sequence of moves that eventually removes all the red checkers. Here is one possible solution:
1. Move the black checker from A1 to B1 (Horizontal move)
2. Move the red checker from B1 to B2 (Vertical move)
3. Move the black checker from B2 to A2 (Horizontal move)
4. Move the red checker from A2 to A3 (Vertical move)
5. Move the black checker from A3 to A4 (Vertical move)
6. Move the red checker from A4 to B4 (Horizontal move)
7. Move the black checker from B4 to B3 (Vertical move)
8. Move the red checker from B3 to B2 (Vertical move)
9. Move the black checker from B2 to A2 (Horizontal move)
10. Move the red checker from A2 to A3 (Vertical move)
11. Move the black checker from A3 to A4 (Vertical move)
12. Move the red checker from A4 to B4 (Horizontal move)
13. Move the black checker from B4 to B3 (Vertical move)
By following this sequence of moves, all seven red checkers will be removed, leaving only the single black checker.