prompt stringclasses 72
values | n_disks int64 3 5 | source stringclasses 3
values | auxiliary stringclasses 2
values | target stringclasses 3
values | target_response stringlengths 29 159 | optimal_response stringclasses 12
values | corrupted bool 2
classes | corruption stringclasses 4
values |
|---|---|---|---|---|---|---|---|---|
Solve Tower of Hanoi with 3 disks: move the stack from peg B to peg A, using peg C to help. | 3 | B | C | A | B->A
B->C
A->C
B->A
C->B
C->A
B->A | B->A
B->C
A->C
B->A
C->B
C->A
B->A | false | null |
Move the 3-disk stack currently on peg A over to peg B. You may use peg C as a temporary spot. | 3 | A | C | B | A->B
A->C
B->C
A->B
C->A
C->B
A->B | A->B
A->C
B->C
A->B
C->A
C->B
A->B | false | null |
3-disk Tower of Hanoi: start on peg B, finish on peg C, auxiliary peg A. | 3 | B | A | C | B->C
B->A
C->A
B->C
A->B
A->C
B->C | B->C
B->A
C->A
B->C
A->B
A->C
B->C | false | null |
Solve Tower of Hanoi with 3 disks: move the stack from peg C to peg B, using peg A to help. | 3 | C | A | B | A->C
C->B
C->A
B->A
C->B
A->C
A->B
C->B | C->B
C->A
B->A
C->B
A->C
A->B
C->B | true | insert |
4-disk Tower of Hanoi: start on peg B, finish on peg A, auxiliary peg C. | 4 | B | C | A | B->C
B->A
C->A
B->C
A->B
A->C
B->C
B->A
C->A
C->B
A->B
C->A
B->C
B->A
C->A | B->C
B->A
C->A
B->C
A->B
A->C
B->C
B->A
C->A
C->B
A->B
C->A
B->C
B->A
C->A | false | null |
Move the 4-disk stack currently on peg A over to peg B. You may use peg C as a temporary spot. | 4 | A | C | B | A->C
A->B
C->B
A->C
B->A
B->C
A->C
A->B
C->B
C->A
B->A
A->C
C->B
A->B
C->B | A->C
A->B
C->B
A->C
B->A
B->C
A->C
A->B
C->B
C->A
B->A
C->B
A->C
A->B
C->B | true | swap |
You have 4 disks on peg B. Move them one at a time to peg C. Peg A is the spare peg. | 4 | B | A | C | B->A
B->C
A->C
B->A
C->B
C->A
B->A
B->C
A->C
A->B
C->B
A->C
B->A
B->C
A->C | B->A
B->C
A->C
B->A
C->B
C->A
B->A
B->C
A->C
A->B
C->B
A->C
B->A
B->C
A->C | false | null |
4-disk Tower of Hanoi: start on peg C, finish on peg B, auxiliary peg A. | 4 | C | A | B | C->A
C->B
A->B
C->A
B->C
B->A
C->A
C->B
A->B
A->C
B->C
A->B
C->A
C->B
A->B | C->A
C->B
A->B
C->A
B->C
B->A
C->A
C->B
A->B
A->C
B->C
A->B
C->A
C->B
A->B | false | null |
There are 5 disks stacked on peg B, largest at the bottom. Move all 5 disks to peg A. Peg C is available as an auxiliary peg. | 5 | B | C | A | B->A
B->C
A->C
B->A
C->B
C->A
B->A
B->C
A->C
A->B
C->B
A->C
B->A
B->C
A->C
B->A
C->B
C->A
B->A
C->B
A->C
A->B
C->B
C->A
B->A
B->C
A->C
B->A
C->B
C->A
B->A | B->A
B->C
A->C
B->A
C->B
C->A
B->A
B->C
A->C
A->B
C->B
A->C
B->A
B->C
A->C
B->A
C->B
C->A
B->A
C->B
A->C
A->B
C->B
C->A
B->A
B->C
A->C
B->A
C->B
C->A
B->A | false | null |
Solve Tower of Hanoi with 5 disks: move the stack from peg A to peg B, using peg C to help. | 5 | A | C | B | A->B
A->C
B->C
A->B
C->A
C->B
A->B
A->C
B->C
B->A
C->A
B->C
A->B
A->C
B->C
A->B
C->A
C->B
A->B
C->A
B->C
B->A
C->A
C->B
A->B
A->C
B->C
A->B
C->A
C->B
A->B | A->B
A->C
B->C
A->B
C->A
C->B
A->B
A->C
B->C
B->A
C->A
B->C
A->B
A->C
B->C
A->B
C->A
C->B
A->B
C->A
B->C
B->A
C->A
C->B
A->B
A->C
B->C
A->B
C->A
C->B
A->B | false | null |
A tower of 5 disks sits on peg B. Relocate the entire tower to peg C, with peg A free to use along the way. | 5 | B | A | C | B->C
B->A
C->A
B->C
A->B
A->C
B->C
B->A
C->A
C->B
A->B
C->A
B->C
B->A
C->A
B->C
A->B
A->C
B->C
A->B
C->A
C->B
A->B
A->C
B->C
B->A
C->A
B->C
A->B
A->C
B->C | B->C
B->A
C->A
B->C
A->B
A->C
B->C
B->A
C->A
C->B
A->B
C->A
B->C
B->A
C->A
B->C
A->B
A->C
B->C
A->B
C->A
C->B
A->B
A->C
B->C
B->A
C->A
B->C
A->B
A->C
B->C | false | null |
Solve Tower of Hanoi with 5 disks: move the stack from peg C to peg B, using peg A to help. | 5 | C | A | B | C->B
C->A
B->A
C->B
A->C
A->B
C->B
C->A
B->A
B->C
A->C
B->A
C->B
C->A
B->A
C->B
A->C
A->B
C->B
A->C
B->A
B->C
A->C
A->B
C->B
C->A
B->A
C->B
A->C
A->B
C->B | C->B
C->A
B->A
C->B
A->C
A->B
C->B
C->A
B->A
B->C
A->C
B->A
C->B
C->A
B->A
C->B
A->C
A->B
C->B
A->C
B->A
B->C
A->C
A->B
C->B
C->A
B->A
C->B
A->C
A->B
C->B | false | null |
A tower of 3 disks sits on peg B. Relocate the entire tower to peg A, with peg C free to use along the way. | 3 | B | C | A | B->A
B->C
A->C
B->A
C->B
C->A
B->A | B->A
B->C
A->C
B->A
C->B
C->A
B->A | false | null |
3-disk Tower of Hanoi: start on peg A, finish on peg B, auxiliary peg C. | 3 | A | C | B | A->B
B->C
A->C
B->C
A->B
C->A
C->B
A->B | A->B
A->C
B->C
A->B
C->A
C->B
A->B | true | insert |
There are 3 disks stacked on peg B, largest at the bottom. Move all 3 disks to peg C. Peg A is available as an auxiliary peg. | 3 | B | A | C | B->C
B->A
C->A
B->C
A->B
A->C
B->C | B->C
B->A
C->A
B->C
A->B
A->C
B->C | false | null |
3-disk Tower of Hanoi: start on peg C, finish on peg B, auxiliary peg A. | 3 | C | A | B | C->B
C->A
B->A
C->B
A->C
A->B
C->B | C->B
C->A
B->A
C->B
A->C
A->B
C->B | false | null |
Move the 4-disk stack currently on peg B over to peg A. You may use peg C as a temporary spot. | 4 | B | C | A | B->C
B->A
C->B
C->A
B->C
A->B
A->C
B->C
B->A
C->A
C->B
A->B
C->A
B->C
B->A
C->A | B->C
B->A
C->A
B->C
A->B
A->C
B->C
B->A
C->A
C->B
A->B
C->A
B->C
B->A
C->A | true | insert |
A tower of 4 disks sits on peg A. Relocate the entire tower to peg B, with peg C free to use along the way. | 4 | A | C | B | A->C
A->B
C->B
A->C
B->A
B->C
A->C
A->B
C->B
C->A
B->A
C->B
A->C
A->B
C->B | A->C
A->B
C->B
A->C
B->A
B->C
A->C
A->B
C->B
C->A
B->A
C->B
A->C
A->B
C->B | false | null |
Move the 4-disk stack currently on peg B over to peg C. You may use peg A as a temporary spot. | 4 | B | A | C | B->A
B->C
A->C
B->A
C->B
C->A
B->A
B->C
A->C
A->B
C->B
A->C
B->A
B->C
A->C | B->A
B->C
A->C
B->A
C->B
C->A
B->A
B->C
A->C
A->B
C->B
A->C
B->A
B->C
A->C | false | null |
A tower of 4 disks sits on peg C. Relocate the entire tower to peg B, with peg A free to use along the way. | 4 | C | A | B | C->A
C->B
A->B
C->A
B->C
B->A
C->A
C->B
A->B
A->C
B->C
A->B
C->B
C->A
A->B | C->A
C->B
A->B
C->A
B->C
B->A
C->A
C->B
A->B
A->C
B->C
A->B
C->A
C->B
A->B | true | swap |
Solve Tower of Hanoi with 5 disks: move the stack from peg B to peg A, using peg C to help. | 5 | B | C | A | B->A
B->C
A->C
B->A
C->B
C->A
B->A
B->C
A->C
A->B
C->B
A->C
B->A
B->C
A->C
B->A
C->B
C->A
B->A
C->B
A->C
A->B
C->B
C->A
B->A
B->C
A->C
B->A
C->B
C->A
B->A | B->A
B->C
A->C
B->A
C->B
C->A
B->A
B->C
A->C
A->B
C->B
A->C
B->A
B->C
A->C
B->A
C->B
C->A
B->A
C->B
A->C
A->B
C->B
C->A
B->A
B->C
A->C
B->A
C->B
C->A
B->A | false | null |
You have 5 disks on peg A. Move them one at a time to peg B. Peg C is the spare peg. | 5 | A | C | B | A->B
A->C
B->C
A->B
C->A
C->B
A->B
A->C
B->C
B->A
C->A
B->C
A->B
A->C
B->C
A->B
C->A
C->B
A->B
C->A
B->C
B->A
C->A
C->B
A->B
A->C
B->C
A->B
C->A
C->B
A->B | A->B
A->C
B->C
A->B
C->A
C->B
A->B
A->C
B->C
B->A
C->A
B->C
A->B
A->C
B->C
A->B
C->A
C->B
A->B
C->A
B->C
B->A
C->A
C->B
A->B
A->C
B->C
A->B
C->A
C->B
A->B | false | null |
Move the 5-disk stack currently on peg B over to peg C. You may use peg A as a temporary spot. | 5 | B | A | C | B->C
B->A
C->A
B->C
A->B
A->C
B->C
B->A
C->A
C->B
A->B
C->A
B->C
B->A
C->A
B->C
A->B
A->C
B->C
A->B
C->A
C->B
A->B
A->C
B->C
B->A
C->A
B->C
A->B
A->C
B->C | B->C
B->A
C->A
B->C
A->B
A->C
B->C
B->A
C->A
C->B
A->B
C->A
B->C
B->A
C->A
B->C
A->B
A->C
B->C
A->B
C->A
C->B
A->B
A->C
B->C
B->A
C->A
B->C
A->B
A->C
B->C | false | null |
Solve Tower of Hanoi with 5 disks: move the stack from peg C to peg B, using peg A to help. | 5 | C | A | B | C->B
C->A
B->A
C->B
A->C
A->B
C->B
C->A
B->A
B->C
A->C
B->A
C->B
C->A
B->A
C->B
A->C
A->B
C->B
A->C
B->A
B->C
A->C
A->B
C->B
C->A
B->A
C->B
A->C
A->B
C->B | C->B
C->A
B->A
C->B
A->C
A->B
C->B
C->A
B->A
B->C
A->C
B->A
C->B
C->A
B->A
C->B
A->C
A->B
C->B
A->C
B->A
B->C
A->C
A->B
C->B
C->A
B->A
C->B
A->C
A->B
C->B | false | null |
Solve Tower of Hanoi with 3 disks: move the stack from peg B to peg A, using peg C to help. | 3 | B | C | A | B->A
B->C
A->C
B->A
C->B
C->A
B->A | B->A
B->C
A->C
B->A
C->B
C->A
B->A | false | null |
Move the 3-disk stack currently on peg A over to peg B. You may use peg C as a temporary spot. | 3 | A | C | B | A->B
A->C
B->C
A->B
C->A
C->B
A->B | A->B
A->C
B->C
A->B
C->A
C->B
A->B | false | null |
Move the 3-disk stack currently on peg B over to peg C. You may use peg A as a temporary spot. | 3 | B | A | C | B->C
B->A
C->A
B->C
A->B
A->C
B->C | B->C
B->A
C->A
B->C
A->B
A->C
B->C | false | null |
Move the 3-disk stack currently on peg C over to peg B. You may use peg A as a temporary spot. | 3 | C | A | B | C->B
C->A
B->A
C->B
A->B
A->C
C->B | C->B
C->A
B->A
C->B
A->C
A->B
C->B | true | swap |
You have 4 disks on peg B. Move them one at a time to peg A. Peg C is the spare peg. | 4 | B | C | A | B->C
B->A
C->A
B->C
A->B
A->C
B->C
B->A
C->A
C->B
A->B
C->A
B->C
B->A
C->A | B->C
B->A
C->A
B->C
A->B
A->C
B->C
B->A
C->A
C->B
A->B
C->A
B->C
B->A
C->A | false | null |
Move the 4-disk stack currently on peg A over to peg B. You may use peg C as a temporary spot. | 4 | A | C | B | A->C
A->B
C->B
A->C
B->A
B->C
A->C
A->B
C->B
C->A
B->A
C->B
A->C
A->B
C->B | A->C
A->B
C->B
A->C
B->A
B->C
A->C
A->B
C->B
C->A
B->A
C->B
A->C
A->B
C->B | false | null |
Solve Tower of Hanoi with 4 disks: move the stack from peg B to peg C, using peg A to help. | 4 | B | A | C | B->A
B->C
A->C
B->A
C->B
C->A
B->A
B->C
A->C
A->B
C->B
A->C
B->A
B->C
A->C | B->A
B->C
A->C
B->A
C->B
C->A
B->A
B->C
A->C
A->B
C->B
A->C
B->A
B->C
A->C | false | null |
There are 4 disks stacked on peg C, largest at the bottom. Move all 4 disks to peg B. Peg A is available as an auxiliary peg. | 4 | C | A | B | C->A
C->B
A->B
C->A
B->C
B->A
C->A
C->B
A->B
A->C
B->C
A->B
C->A
C->B
A->B | C->A
C->B
A->B
C->A
B->C
B->A
C->A
C->B
A->B
A->C
B->C
A->B
C->A
C->B
A->B | false | null |
There are 5 disks stacked on peg B, largest at the bottom. Move all 5 disks to peg A. Peg C is available as an auxiliary peg. | 5 | B | C | A | B->A
B->C
A->C
B->A
C->B
C->A
B->A
B->C
A->C
A->B
C->B
A->C
B->A
B->C
A->C
B->A
C->B
C->A
B->A
C->B
A->C
A->B
C->B
C->A
B->A
B->C
A->C
B->A
C->B
C->A
B->A | B->A
B->C
A->C
B->A
C->B
C->A
B->A
B->C
A->C
A->B
C->B
A->C
B->A
B->C
A->C
B->A
C->B
C->A
B->A
C->B
A->C
A->B
C->B
C->A
B->A
B->C
A->C
B->A
C->B
C->A
B->A | false | null |
You have 5 disks on peg A. Move them one at a time to peg B. Peg C is the spare peg. | 5 | A | C | B | A->B
A->C
B->C
A->B
C->A
C->B
A->B
A->C
B->C
B->A
C->A
B->C
A->B
A->C
B->C
A->B
C->A
C->B
A->B
C->A
B->C
B->A
C->A
C->B
A->B
A->C
B->C
A->B
C->A
C->B
A->B | A->B
A->C
B->C
A->B
C->A
C->B
A->B
A->C
B->C
B->A
C->A
B->C
A->B
A->C
B->C
A->B
C->A
C->B
A->B
C->A
B->C
B->A
C->A
C->B
A->B
A->C
B->C
A->B
C->A
C->B
A->B | false | null |
Solve Tower of Hanoi with 5 disks: move the stack from peg B to peg C, using peg A to help. | 5 | B | A | C | B->C
B->A
C->A
B->C
A->B
A->C
B->C
B->A
C->A
C->B
A->B
C->A
B->C
B->A
C->A
B->C
A->B
A->C
B->C
A->B
C->A
C->B
A->B
A->C
B->C
B->A
C->A
B->C
A->B
A->C
B->C | B->C
B->A
C->A
B->C
A->B
A->C
B->C
B->A
C->A
C->B
A->B
C->A
B->C
B->A
C->A
B->C
A->B
A->C
B->C
A->B
C->A
C->B
A->B
A->C
B->C
B->A
C->A
B->C
A->B
A->C
B->C | false | null |
5-disk Tower of Hanoi: start on peg C, finish on peg B, auxiliary peg A. | 5 | C | A | B | C->B
C->A
B->A
C->B
A->C
A->B
C->B
C->A
B->A
B->C
A->C
B->A
C->B
C->A
B->A
C->B
A->C
A->B
C->B
A->C
B->A
B->C
A->C
A->B
C->B
C->A
B->A
C->B
A->C
A->B
C->B | C->B
C->A
B->A
C->B
A->C
A->B
C->B
C->A
B->A
B->C
A->C
B->A
C->B
C->A
B->A
C->B
A->C
A->B
C->B
A->C
B->A
B->C
A->C
A->B
C->B
C->A
B->A
C->B
A->C
A->B
C->B | false | null |
A tower of 3 disks sits on peg B. Relocate the entire tower to peg A, with peg C free to use along the way. | 3 | B | C | A | B->A
B->C
A->C
B->A
C->B
C->A
B->A | B->A
B->C
A->C
B->A
C->B
C->A
B->A | false | null |
You have 3 disks on peg A. Move them one at a time to peg B. Peg C is the spare peg. | 3 | A | C | B | A->B
A->C
B->C
A->B
C->A
C->B
A->B | A->B
A->C
B->C
A->B
C->A
C->B
A->B | false | null |
Move the 3-disk stack currently on peg B over to peg C. You may use peg A as a temporary spot. | 3 | B | A | C | B->C
B->A
C->A
B->C
A->B
A->C
B->C | B->C
B->A
C->A
B->C
A->B
A->C
B->C | false | null |
A tower of 3 disks sits on peg C. Relocate the entire tower to peg B, with peg A free to use along the way. | 3 | C | A | B | C->B
C->A
B->A
C->B
A->C
A->B
C->B | C->B
C->A
B->A
C->B
A->C
A->B
C->B | false | null |
4-disk Tower of Hanoi: start on peg B, finish on peg A, auxiliary peg C. | 4 | B | C | A | B->C
B->A
C->A
B->C
A->B
A->C
B->C
B->A
C->A
C->B
A->B
B->C
B->A
C->A | B->C
B->A
C->A
B->C
A->B
A->C
B->C
B->A
C->A
C->B
A->B
C->A
B->C
B->A
C->A | true | delete |
4-disk Tower of Hanoi: start on peg A, finish on peg B, auxiliary peg C. | 4 | A | C | B | A->C
A->B
C->B
A->C
B->A
B->C
A->C
A->B
C->B
C->A
B->A
C->B
A->C
A->B
C->B | A->C
A->B
C->B
A->C
B->A
B->C
A->C
A->B
C->B
C->A
B->A
C->B
A->C
A->B
C->B | false | null |
Solve Tower of Hanoi with 4 disks: move the stack from peg B to peg C, using peg A to help. | 4 | B | A | C | B->A
B->C
A->C
B->A
C->B
C->A
B->A
B->C
A->C
A->B
C->B
A->C
B->A
B->C
A->C | B->A
B->C
A->C
B->A
C->B
C->A
B->A
B->C
A->C
A->B
C->B
A->C
B->A
B->C
A->C | false | null |
Solve Tower of Hanoi with 4 disks: move the stack from peg C to peg B, using peg A to help. | 4 | C | A | B | C->A
C->B
A->B
C->A
B->C
B->A
C->A
C->B
A->B
A->C
B->C
A->B
C->A
C->B
A->B | C->A
C->B
A->B
C->A
B->C
B->A
C->A
C->B
A->B
A->C
B->C
A->B
C->A
C->B
A->B | false | null |
There are 5 disks stacked on peg B, largest at the bottom. Move all 5 disks to peg A. Peg C is available as an auxiliary peg. | 5 | B | C | A | B->A
B->C
A->C
B->A
C->B
C->A
B->A
B->C
A->C
A->B
C->B
A->C
B->A
B->C
A->C
B->A
C->B
C->A
B->A
C->B
A->C
A->B
C->B
C->A
B->A
B->C
A->C
B->A
C->B
C->A
B->A | B->A
B->C
A->C
B->A
C->B
C->A
B->A
B->C
A->C
A->B
C->B
A->C
B->A
B->C
A->C
B->A
C->B
C->A
B->A
C->B
A->C
A->B
C->B
C->A
B->A
B->C
A->C
B->A
C->B
C->A
B->A | false | null |
There are 5 disks stacked on peg A, largest at the bottom. Move all 5 disks to peg B. Peg C is available as an auxiliary peg. | 5 | A | C | B | A->B
A->C
B->C
A->B
C->A
C->B
A->B
A->C
B->C
B->A
C->A
B->C
A->B
A->C
B->C
A->B
C->A
C->B
A->B
C->A
B->C
B->A
C->A
C->B
A->B
A->C
B->C
A->B
C->A
C->B
A->B | A->B
A->C
B->C
A->B
C->A
C->B
A->B
A->C
B->C
B->A
C->A
B->C
A->B
A->C
B->C
A->B
C->A
C->B
A->B
C->A
B->C
B->A
C->A
C->B
A->B
A->C
B->C
A->B
C->A
C->B
A->B | false | null |
Move the 5-disk stack currently on peg B over to peg C. You may use peg A as a temporary spot. | 5 | B | A | C | B->C
B->A
C->A
B->C
A->B
A->C
B->C
B->A
C->A
C->B
A->B
C->A
B->C
B->A
C->A
B->C
A->B
A->C
B->C
A->B
C->A
C->B
A->B
A->C
B->C
C->A
B->A
B->C
A->B
A->C
B->C | B->C
B->A
C->A
B->C
A->B
A->C
B->C
B->A
C->A
C->B
A->B
C->A
B->C
B->A
C->A
B->C
A->B
A->C
B->C
A->B
C->A
C->B
A->B
A->C
B->C
B->A
C->A
B->C
A->B
A->C
B->C | true | swap |
There are 5 disks stacked on peg C, largest at the bottom. Move all 5 disks to peg B. Peg A is available as an auxiliary peg. | 5 | C | A | B | C->B
C->A
B->A
C->B
A->C
A->B
C->B
C->A
B->A
B->C
A->C
B->A
C->B
C->A
B->A
C->B
A->C
A->B
C->B
A->C
B->A
B->C
A->C
A->B
C->B
C->A
B->A
C->B
A->C
A->B
C->B | C->B
C->A
B->A
C->B
A->C
A->B
C->B
C->A
B->A
B->C
A->C
B->A
C->B
C->A
B->A
C->B
A->C
A->B
C->B
A->C
B->A
B->C
A->C
A->B
C->B
C->A
B->A
C->B
A->C
A->B
C->B | false | null |
3-disk Tower of Hanoi: start on peg B, finish on peg A, auxiliary peg C. | 3 | B | C | A | B->A
B->C
A->C
B->A
C->B
C->A
B->A | B->A
B->C
A->C
B->A
C->B
C->A
B->A | false | null |
3-disk Tower of Hanoi: start on peg A, finish on peg B, auxiliary peg C. | 3 | A | C | B | A->B
A->C
B->C
A->B
C->A
C->B
A->B | A->B
A->C
B->C
A->B
C->A
C->B
A->B | false | null |
3-disk Tower of Hanoi: start on peg B, finish on peg C, auxiliary peg A. | 3 | B | A | C | B->C
B->A
C->A
B->C
A->B
A->C
B->C | B->C
B->A
C->A
B->C
A->B
A->C
B->C | false | null |
There are 3 disks stacked on peg C, largest at the bottom. Move all 3 disks to peg B. Peg A is available as an auxiliary peg. | 3 | C | A | B | C->B
C->A
B->A
C->B
A->C
A->B
C->B | C->B
C->A
B->A
C->B
A->C
A->B
C->B | false | null |
There are 4 disks stacked on peg B, largest at the bottom. Move all 4 disks to peg A. Peg C is available as an auxiliary peg. | 4 | B | C | A | B->C
B->A
C->A
B->C
A->B
A->C
B->C
B->A
C->A
C->B
A->B
C->A
B->C
B->A
C->A | B->C
B->A
C->A
B->C
A->B
A->C
B->C
B->A
C->A
C->B
A->B
C->A
B->C
B->A
C->A | false | null |
4-disk Tower of Hanoi: start on peg A, finish on peg B, auxiliary peg C. | 4 | A | C | B | A->C
A->B
C->B
A->C
B->A
B->C
A->C
A->B
C->B
C->A
B->A
C->B
A->C
A->B
C->B | A->C
A->B
C->B
A->C
B->A
B->C
A->C
A->B
C->B
C->A
B->A
C->B
A->C
A->B
C->B | false | null |
Move the 4-disk stack currently on peg B over to peg C. You may use peg A as a temporary spot. | 4 | B | A | C | B->A
B->C
A->C
B->A
C->B
C->A
B->A
B->C
A->C
A->B
C->B
A->C
B->A
B->C
A->C | B->A
B->C
A->C
B->A
C->B
C->A
B->A
B->C
A->C
A->B
C->B
A->C
B->A
B->C
A->C | false | null |
A tower of 4 disks sits on peg C. Relocate the entire tower to peg B, with peg A free to use along the way. | 4 | C | A | B | C->A
C->B
A->B
C->A
B->C
B->A
C->A
C->B
A->B
A->C
B->C
A->B
C->A
C->B
A->B | C->A
C->B
A->B
C->A
B->C
B->A
C->A
C->B
A->B
A->C
B->C
A->B
C->A
C->B
A->B | false | null |
You have 5 disks on peg B. Move them one at a time to peg A. Peg C is the spare peg. | 5 | B | C | A | B->A
B->C
A->C
B->A
C->B
C->A
B->A
B->C
A->C
A->B
C->B
A->C
B->A
B->C
A->C
B->A
C->B
C->A
B->A
C->B
A->C
A->B
C->B
C->A
B->A
B->C
A->C
B->A
C->B
C->A
B->A | B->A
B->C
A->C
B->A
C->B
C->A
B->A
B->C
A->C
A->B
C->B
A->C
B->A
B->C
A->C
B->A
C->B
C->A
B->A
C->B
A->C
A->B
C->B
C->A
B->A
B->C
A->C
B->A
C->B
C->A
B->A | false | null |
Solve Tower of Hanoi with 5 disks: move the stack from peg A to peg B, using peg C to help. | 5 | A | C | B | A->B
A->C
B->C
A->B
C->A
C->B
A->B
A->C
B->C
B->A
C->A
B->C
A->B
A->C
B->C
A->B
C->B
A->B
C->A
B->C
B->A
C->A
C->B
A->B
A->C
B->C
A->B
C->A
C->B
A->B | A->B
A->C
B->C
A->B
C->A
C->B
A->B
A->C
B->C
B->A
C->A
B->C
A->B
A->C
B->C
A->B
C->A
C->B
A->B
C->A
B->C
B->A
C->A
C->B
A->B
A->C
B->C
A->B
C->A
C->B
A->B | true | delete |
There are 5 disks stacked on peg B, largest at the bottom. Move all 5 disks to peg C. Peg A is available as an auxiliary peg. | 5 | B | A | C | B->C
B->A
C->A
B->C
A->B
A->C
B->C
B->A
C->A
C->B
A->B
C->A
B->C
B->A
C->A
B->C
A->B
A->C
B->C
A->B
C->A
C->B
A->B
A->C
B->C
B->A
C->A
B->C
A->B
A->C
B->C | B->C
B->A
C->A
B->C
A->B
A->C
B->C
B->A
C->A
C->B
A->B
C->A
B->C
B->A
C->A
B->C
A->B
A->C
B->C
A->B
C->A
C->B
A->B
A->C
B->C
B->A
C->A
B->C
A->B
A->C
B->C | false | null |
A tower of 5 disks sits on peg C. Relocate the entire tower to peg B, with peg A free to use along the way. | 5 | C | A | B | C->B
C->A
B->A
C->B
A->C
A->B
C->B
C->A
B->A
B->C
A->C
B->A
C->B
C->A
B->A
C->B
A->C
A->B
C->B
A->C
B->A
B->C
A->C
A->B
C->B
C->A
B->A
C->B
A->C
A->B
C->B | C->B
C->A
B->A
C->B
A->C
A->B
C->B
C->A
B->A
B->C
A->C
B->A
C->B
C->A
B->A
C->B
A->C
A->B
C->B
A->C
B->A
B->C
A->C
A->B
C->B
C->A
B->A
C->B
A->C
A->B
C->B | false | null |
3-disk Tower of Hanoi: start on peg B, finish on peg A, auxiliary peg C. | 3 | B | C | A | B->A
B->C
A->C
B->A
C->B
C->A
B->A | B->A
B->C
A->C
B->A
C->B
C->A
B->A | false | null |
Solve Tower of Hanoi with 3 disks: move the stack from peg A to peg B, using peg C to help. | 3 | A | C | B | A->B
A->C
B->C
A->B
C->A
C->B
A->B | A->B
A->C
B->C
A->B
C->A
C->B
A->B | false | null |
Solve Tower of Hanoi with 3 disks: move the stack from peg B to peg C, using peg A to help. | 3 | B | A | C | B->C
B->A
C->A
B->C
A->B
A->C
B->C | B->C
B->A
C->A
B->C
A->B
A->C
B->C | false | null |
3-disk Tower of Hanoi: start on peg C, finish on peg B, auxiliary peg A. | 3 | C | A | B | C->B
C->A
B->A
C->B
A->C
A->B
C->B | C->B
C->A
B->A
C->B
A->C
A->B
C->B | false | null |
4-disk Tower of Hanoi: start on peg B, finish on peg A, auxiliary peg C. | 4 | B | C | A | B->C
B->A
C->A
B->C
A->B
A->C
B->C
B->A
C->A
C->B
A->B
C->A
B->C
B->A
C->A | B->C
B->A
C->A
B->C
A->B
A->C
B->C
B->A
C->A
C->B
A->B
C->A
B->C
B->A
C->A | false | null |
There are 4 disks stacked on peg A, largest at the bottom. Move all 4 disks to peg B. Peg C is available as an auxiliary peg. | 4 | A | C | B | A->C
A->B
C->B
A->C
B->A
B->C
A->C
A->B
C->B
C->A
B->A
C->B
A->C
A->B
C->B | A->C
A->B
C->B
A->C
B->A
B->C
A->C
A->B
C->B
C->A
B->A
C->B
A->C
A->B
C->B | false | null |
A tower of 4 disks sits on peg B. Relocate the entire tower to peg C, with peg A free to use along the way. | 4 | B | A | C | B->A
B->C
A->C
B->A
C->B
C->A
B->A
B->C
A->C
A->B
C->B
A->C
B->A
B->C | B->A
B->C
A->C
B->A
C->B
C->A
B->A
B->C
A->C
A->B
C->B
A->C
B->A
B->C
A->C | true | delete |
Solve Tower of Hanoi with 4 disks: move the stack from peg C to peg B, using peg A to help. | 4 | C | A | B | C->A
C->B
A->B
C->A
B->C
B->A
C->A
C->B
A->B
A->C
B->C
A->B
C->A
C->B
A->B | C->A
C->B
A->B
C->A
B->C
B->A
C->A
C->B
A->B
A->C
B->C
A->B
C->A
C->B
A->B | false | null |
There are 5 disks stacked on peg B, largest at the bottom. Move all 5 disks to peg A. Peg C is available as an auxiliary peg. | 5 | B | C | A | B->A
B->C
A->C
B->A
C->B
C->A
B->A
B->C
A->C
A->B
C->B
A->C
B->A
B->C
A->C
B->A
C->B
C->A
B->A
C->B
A->C
A->B
C->B
C->A
B->A
B->C
A->C
B->A
C->B
C->A
B->A | B->A
B->C
A->C
B->A
C->B
C->A
B->A
B->C
A->C
A->B
C->B
A->C
B->A
B->C
A->C
B->A
C->B
C->A
B->A
C->B
A->C
A->B
C->B
C->A
B->A
B->C
A->C
B->A
C->B
C->A
B->A | false | null |
Solve Tower of Hanoi with 5 disks: move the stack from peg A to peg B, using peg C to help. | 5 | A | C | B | A->B
A->C
B->C
A->B
C->A
C->A
C->B
A->B
A->C
B->C
B->A
C->A
B->C
A->B
A->C
B->C
A->B
C->A
C->B
A->B
C->A
B->C
B->A
C->A
C->B
A->B
A->C
B->C
A->B
C->A
C->B
A->B | A->B
A->C
B->C
A->B
C->A
C->B
A->B
A->C
B->C
B->A
C->A
B->C
A->B
A->C
B->C
A->B
C->A
C->B
A->B
C->A
B->C
B->A
C->A
C->B
A->B
A->C
B->C
A->B
C->A
C->B
A->B | true | insert |
5-disk Tower of Hanoi: start on peg B, finish on peg C, auxiliary peg A. | 5 | B | A | C | B->C
B->A
C->A
B->C
A->B
A->C
B->C
B->A
C->A
C->B
A->B
C->A
B->C
B->A
C->A
B->C
A->B
A->C
B->C
A->B
C->A
C->B
A->B
A->C
B->C
B->A
C->A
B->C
A->B
A->C
B->C | B->C
B->A
C->A
B->C
A->B
A->C
B->C
B->A
C->A
C->B
A->B
C->A
B->C
B->A
C->A
B->C
A->B
A->C
B->C
A->B
C->A
C->B
A->B
A->C
B->C
B->A
C->A
B->C
A->B
A->C
B->C | false | null |
Move the 5-disk stack currently on peg C over to peg B. You may use peg A as a temporary spot. | 5 | C | A | B | C->B
C->A
B->A
C->B
A->C
A->B
C->B
C->A
B->A
B->C
A->C
B->A
C->B
C->A
C->A
B->A
C->B
A->C
A->B
C->B
A->C
B->A
B->C
A->C
A->B
C->B
C->A
B->A
C->B
A->C
A->B
C->B | C->B
C->A
B->A
C->B
A->C
A->B
C->B
C->A
B->A
B->C
A->C
B->A
C->B
C->A
B->A
C->B
A->C
A->B
C->B
A->C
B->A
B->C
A->C
A->B
C->B
C->A
B->A
C->B
A->C
A->B
C->B | true | insert |
Move the 3-disk stack currently on peg B over to peg A. You may use peg C as a temporary spot. | 3 | B | C | A | B->A
B->C
A->C
B->A
C->B
C->A
B->A | B->A
B->C
A->C
B->A
C->B
C->A
B->A | false | null |
You have 3 disks on peg A. Move them one at a time to peg B. Peg C is the spare peg. | 3 | A | C | B | A->B
A->C
B->C
A->B
C->A
C->B
A->B | A->B
A->C
B->C
A->B
C->A
C->B
A->B | false | null |
You have 3 disks on peg B. Move them one at a time to peg C. Peg A is the spare peg. | 3 | B | A | C | B->C
B->A
C->A
B->C
A->B
A->C
B->C | B->C
B->A
C->A
B->C
A->B
A->C
B->C | false | null |
A tower of 3 disks sits on peg C. Relocate the entire tower to peg B, with peg A free to use along the way. | 3 | C | A | B | C->A
C->B
B->A
C->B
A->C
A->B
C->B | C->B
C->A
B->A
C->B
A->C
A->B
C->B | true | swap |
Solve Tower of Hanoi with 4 disks: move the stack from peg B to peg A, using peg C to help. | 4 | B | C | A | B->C
B->A
C->A
B->C
A->B
A->C
B->C
B->A
C->A
A->B
C->B
C->A
B->C
B->A
C->A | B->C
B->A
C->A
B->C
A->B
A->C
B->C
B->A
C->A
C->B
A->B
C->A
B->C
B->A
C->A | true | swap |
4-disk Tower of Hanoi: start on peg A, finish on peg B, auxiliary peg C. | 4 | A | C | B | A->C
C->B
A->C
B->A
B->C
A->C
A->B
C->B
C->A
B->A
C->B
A->C
A->B
C->B | A->C
A->B
C->B
A->C
B->A
B->C
A->C
A->B
C->B
C->A
B->A
C->B
A->C
A->B
C->B | true | delete |
Move the 4-disk stack currently on peg B over to peg C. You may use peg A as a temporary spot. | 4 | B | A | C | B->A
B->C
A->C
B->A
C->B
C->A
B->A
B->C
A->C
A->B
C->B
A->C
B->A
B->C
A->C | B->A
B->C
A->C
B->A
C->B
C->A
B->A
B->C
A->C
A->B
C->B
A->C
B->A
B->C
A->C | false | null |
4-disk Tower of Hanoi: start on peg C, finish on peg B, auxiliary peg A. | 4 | C | A | B | C->A
C->B
A->B
C->A
B->C
B->A
C->A
C->B
A->B
A->C
B->C
A->B
C->A
C->B
A->B | C->A
C->B
A->B
C->A
B->C
B->A
C->A
C->B
A->B
A->C
B->C
A->B
C->A
C->B
A->B | false | null |
Solve Tower of Hanoi with 5 disks: move the stack from peg B to peg A, using peg C to help. | 5 | B | C | A | B->A
B->C
A->C
B->A
C->B
C->A
B->A
B->C
A->C
A->B
C->B
A->C
B->A
B->C
A->C
B->C
B->A
C->B
C->A
B->A
C->B
A->C
A->B
C->B
C->A
B->A
B->C
A->C
B->A
C->B
C->A
B->A | B->A
B->C
A->C
B->A
C->B
C->A
B->A
B->C
A->C
A->B
C->B
A->C
B->A
B->C
A->C
B->A
C->B
C->A
B->A
C->B
A->C
A->B
C->B
C->A
B->A
B->C
A->C
B->A
C->B
C->A
B->A | true | insert |
You have 5 disks on peg A. Move them one at a time to peg B. Peg C is the spare peg. | 5 | A | C | B | A->B
A->C
B->C
A->B
C->A
C->B
A->B
A->C
B->C
B->A
C->A
B->C
A->B
A->C
B->C
A->B
C->A
C->B
A->B
C->A
B->C
B->A
B->C
C->A
C->B
A->B
A->C
B->C
A->B
C->A
C->B
A->B | A->B
A->C
B->C
A->B
C->A
C->B
A->B
A->C
B->C
B->A
C->A
B->C
A->B
A->C
B->C
A->B
C->A
C->B
A->B
C->A
B->C
B->A
C->A
C->B
A->B
A->C
B->C
A->B
C->A
C->B
A->B | true | insert |
There are 5 disks stacked on peg B, largest at the bottom. Move all 5 disks to peg C. Peg A is available as an auxiliary peg. | 5 | B | A | C | B->C
B->A
C->A
B->C
A->B
A->C
B->C
B->A
C->A
C->B
A->B
C->A
B->C
B->A
C->A
B->C
A->B
A->C
B->C
A->B
C->A
C->B
A->B
A->C
B->C
B->A
C->A
B->C
A->B
A->C
B->C | B->C
B->A
C->A
B->C
A->B
A->C
B->C
B->A
C->A
C->B
A->B
C->A
B->C
B->A
C->A
B->C
A->B
A->C
B->C
A->B
C->A
C->B
A->B
A->C
B->C
B->A
C->A
B->C
A->B
A->C
B->C | false | null |
Move the 5-disk stack currently on peg C over to peg B. You may use peg A as a temporary spot. | 5 | C | A | B | C->B
C->A
B->A
C->B
A->C
A->B
C->B
C->A
B->A
B->C
A->C
B->A
C->B
C->A
B->A
C->B
A->C
A->B
C->B
A->C
B->A
B->C
A->C
A->B
C->B
C->A
B->A
C->B
A->C
A->B
C->B | C->B
C->A
B->A
C->B
A->C
A->B
C->B
C->A
B->A
B->C
A->C
B->A
C->B
C->A
B->A
C->B
A->C
A->B
C->B
A->C
B->A
B->C
A->C
A->B
C->B
C->A
B->A
C->B
A->C
A->B
C->B | false | null |
Solve Tower of Hanoi with 3 disks: move the stack from peg B to peg A, using peg C to help. | 3 | B | C | A | B->A
B->C
A->C
B->A
C->B
A->C
C->A
B->A | B->A
B->C
A->C
B->A
C->B
C->A
B->A | true | insert |
A tower of 3 disks sits on peg A. Relocate the entire tower to peg B, with peg C free to use along the way. | 3 | A | C | B | A->B
A->C
B->A
B->C
A->B
C->A
C->B
A->B | A->B
A->C
B->C
A->B
C->A
C->B
A->B | true | insert |
There are 3 disks stacked on peg B, largest at the bottom. Move all 3 disks to peg C. Peg A is available as an auxiliary peg. | 3 | B | A | C | B->C
B->A
C->A
B->C
A->B
A->C
B->C | B->C
B->A
C->A
B->C
A->B
A->C
B->C | false | null |
3-disk Tower of Hanoi: start on peg C, finish on peg B, auxiliary peg A. | 3 | C | A | B | C->B
C->A
B->A
C->B
A->C
A->B
C->B | C->B
C->A
B->A
C->B
A->C
A->B
C->B | false | null |
You have 4 disks on peg B. Move them one at a time to peg A. Peg C is the spare peg. | 4 | B | C | A | B->C
A->C
C->A
B->C
A->B
A->C
B->C
B->A
C->A
C->B
A->B
C->A
B->C
B->A
C->A | B->C
B->A
C->A
B->C
A->B
A->C
B->C
B->A
C->A
C->B
A->B
C->A
B->C
B->A
C->A | true | replace |
Solve Tower of Hanoi with 4 disks: move the stack from peg A to peg B, using peg C to help. | 4 | A | C | B | A->C
A->B
C->B
A->C
B->A
B->C
A->C
A->B
C->B
C->A
B->A
C->B
A->C
A->B
C->B | A->C
A->B
C->B
A->C
B->A
B->C
A->C
A->B
C->B
C->A
B->A
C->B
A->C
A->B
C->B | false | null |
There are 4 disks stacked on peg B, largest at the bottom. Move all 4 disks to peg C. Peg A is available as an auxiliary peg. | 4 | B | A | C | B->A
B->C
A->C
B->A
C->B
C->A
B->A
B->C
A->C
A->B
C->B
A->C
B->A
B->C
A->C | B->A
B->C
A->C
B->A
C->B
C->A
B->A
B->C
A->C
A->B
C->B
A->C
B->A
B->C
A->C | false | null |
A tower of 4 disks sits on peg C. Relocate the entire tower to peg B, with peg A free to use along the way. | 4 | C | A | B | C->A
C->B
A->B
C->A
B->C
B->A
B->C
C->B
A->B
A->C
B->C
A->B
C->A
C->B
A->B | C->A
C->B
A->B
C->A
B->C
B->A
C->A
C->B
A->B
A->C
B->C
A->B
C->A
C->B
A->B | true | replace |
Move the 5-disk stack currently on peg B over to peg A. You may use peg C as a temporary spot. | 5 | B | C | A | B->A
B->C
A->C
B->A
C->B
C->A
B->A
B->C
A->C
A->B
C->B
A->C
B->A
B->C
A->C
B->A
C->B
C->A
B->A
C->B
A->C
A->B
C->B
C->A
B->A
B->C
A->C
B->A
C->B
C->A
B->A | B->A
B->C
A->C
B->A
C->B
C->A
B->A
B->C
A->C
A->B
C->B
A->C
B->A
B->C
A->C
B->A
C->B
C->A
B->A
C->B
A->C
A->B
C->B
C->A
B->A
B->C
A->C
B->A
C->B
C->A
B->A | false | null |
5-disk Tower of Hanoi: start on peg A, finish on peg B, auxiliary peg C. | 5 | A | C | B | A->B
A->C
B->C
A->B
C->A
C->B
A->B
A->C
B->C
B->A
C->A
B->C
A->B
A->C
B->C
A->B
C->A
C->B
A->B
C->A
B->C
B->A
C->A
C->B
A->B
A->C
B->C
A->B
C->A
C->B
A->B | A->B
A->C
B->C
A->B
C->A
C->B
A->B
A->C
B->C
B->A
C->A
B->C
A->B
A->C
B->C
A->B
C->A
C->B
A->B
C->A
B->C
B->A
C->A
C->B
A->B
A->C
B->C
A->B
C->A
C->B
A->B | false | null |
You have 5 disks on peg B. Move them one at a time to peg C. Peg A is the spare peg. | 5 | B | A | C | B->C
B->A
C->A
B->C
A->B
A->C
B->C
B->A
C->A
C->B
A->B
C->A
B->C
B->A
C->A
B->C
A->B
A->C
B->C
A->B
C->A
C->B
A->B
A->C
B->C
B->A
C->A
B->C
A->B
A->C
B->C | B->C
B->A
C->A
B->C
A->B
A->C
B->C
B->A
C->A
C->B
A->B
C->A
B->C
B->A
C->A
B->C
A->B
A->C
B->C
A->B
C->A
C->B
A->B
A->C
B->C
B->A
C->A
B->C
A->B
A->C
B->C | false | null |
There are 5 disks stacked on peg C, largest at the bottom. Move all 5 disks to peg B. Peg A is available as an auxiliary peg. | 5 | C | A | B | C->B
C->A
B->A
C->B
A->C
A->B
C->A
B->A
B->C
A->C
B->A
C->B
C->A
B->A
C->B
A->C
A->B
C->B
A->C
B->A
B->C
A->C
A->B
C->B
C->A
B->A
C->B
A->C
A->B
C->B | C->B
C->A
B->A
C->B
A->C
A->B
C->B
C->A
B->A
B->C
A->C
B->A
C->B
C->A
B->A
C->B
A->C
A->B
C->B
A->C
B->A
B->C
A->C
A->B
C->B
C->A
B->A
C->B
A->C
A->B
C->B | true | delete |
3-disk Tower of Hanoi: start on peg B, finish on peg A, auxiliary peg C. | 3 | B | C | A | B->A
B->C
A->C
B->A
C->B
C->A
B->A | B->A
B->C
A->C
B->A
C->B
C->A
B->A | false | null |
There are 3 disks stacked on peg A, largest at the bottom. Move all 3 disks to peg B. Peg C is available as an auxiliary peg. | 3 | A | C | B | A->C
B->C
A->B
C->A
C->B
A->B | A->B
A->C
B->C
A->B
C->A
C->B
A->B | true | delete |
3-disk Tower of Hanoi: start on peg B, finish on peg C, auxiliary peg A. | 3 | B | A | C | B->C
B->A
C->A
B->C
A->B
A->C
B->C | B->C
B->A
C->A
B->C
A->B
A->C
B->C | false | null |
3-disk Tower of Hanoi: start on peg C, finish on peg B, auxiliary peg A. | 3 | C | A | B | C->B
C->A
B->A
C->B
A->C
A->B
C->B | C->B
C->A
B->A
C->B
A->C
A->B
C->B | false | null |
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