Puzzle Detail
Tower Of Hanoi Hanoi 5disc Expert — Set 83
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{
"title": "Tower of Hanoi: 5 Disks — Expert #83",
"diskCount": 5,
"taskType": "error-identify",
"pegs": {
"A": "Peg A (Start)",
"B": "Peg B (Spare)",
"C": "Peg C (Goal)"
},
"initialState": {
"A": [
5,
4,
3,
2,
1
],
"B": [],
"C": []
},
"targetState": {
"A": [],
"B": [],
"C": [
5,
4,
3,
2,
1
]
},
"partialState": null,
"movesCompleted": null,
"solution": [
{
"step": 1,
"from": "A",
"to": "C",
"diskSize": 1,
"description": "Move disk 1 (smallest) from peg A to peg C."
},
{
"step": 2,
"from": "A",
"to": "B",
"diskSize": 2,
"description": "Move disk 2 (second smallest) from peg A to peg B."
},
{
"step": 3,
"from": "C",
"to": "B",
"diskSize": 1,
"description": "Move disk 1 (smallest) from peg C to peg B."
},
{
"step": 4,
"from": "A",
"to": "C",
"diskSize": 3,
"description": "Move disk 3 (medium) from peg A to peg C."
},
{
"step": 5,
"from": "B",
"to": "A",
"diskSize": 1,
"description": "Move disk 1 (smallest) from peg B to peg A."
},
{
"step": 6,
"from": "B",
"to": "C",
"diskSize": 2,
"description": "Move disk 2 (second smallest) from peg B to peg C."
},
{
"step": 7,
"from": "A",
"to": "C",
"diskSize": 1,
"description": "Move disk 1 (smallest) from peg A to peg C."
},
{
"step": 8,
"from": "A",
"to": "B",
"diskSize": 4,
"description": "Move disk 4 (second largest) from peg A to peg B."
},
{
"step": 9,
"from": "C",
"to": "B",
"diskSize": 1,
"description": "Move disk 1 (smallest) from peg C to peg B."
},
{
"step": 10,
"from": "C",
"to": "A",
"diskSize": 2,
"description": "Move disk 2 (second smallest) from peg C to peg A."
},
{
"step": 11,
"from": "B",
"to": "A",
"diskSize": 1,
"description": "Move disk 1 (smallest) from peg B to peg A."
},
{
"step": 12,
"from": "C",
"to": "B",
"diskSize": 3,
"description": "Move disk 3 (medium) from peg C to peg B."
},
{
"step": 13,
"from": "A",
"to": "C",
"diskSize": 1,
"description": "Move disk 1 (smallest) from peg A to peg C."
},
{
"step": 14,
"from": "A",
"to": "B",
"diskSize": 2,
"description": "Move disk 2 (second smallest) from peg A to peg B."
},
{
"step": 15,
"from": "C",
"to": "B",
"diskSize": 1,
"description": "Move disk 1 (smallest) from peg C to peg B."
},
{
"step": 16,
"from": "A",
"to": "C",
"diskSize": 5,
"description": "Move disk 5 (largest) from peg A to peg C."
},
{
"step": 17,
"from": "B",
"to": "A",
"diskSize": 1,
"description": "Move disk 1 (smallest) from peg B to peg A."
},
{
"step": 18,
"from": "B",
"to": "C",
"diskSize": 2,
"description": "Move disk 2 (second smallest) from peg B to peg C."
},
{
"step": 19,
"from": "A",
"to": "C",
"diskSize": 1,
"description": "Move disk 1 (smallest) from peg A to peg C."
},
{
"step": 20,
"from": "B",
"to": "A",
"diskSize": 3,
"description": "Move disk 3 (medium) from peg B to peg A."
},
{
"step": 21,
"from": "C",
"to": "B",
"diskSize": 1,
"description": "Move disk 1 (smallest) from peg C to peg B."
},
{
"step": 22,
"from": "C",
"to": "A",
"diskSize": 2,
"description": "Move disk 2 (second smallest) from peg C to peg A."
},
{
"step": 23,
"from": "B",
"to": "A",
"diskSize": 1,
"description": "Move disk 1 (smallest) from peg B to peg A."
},
{
"step": 24,
"from": "B",
"to": "C",
"diskSize": 4,
"description": "Move disk 4 (second largest) from peg B to peg C."
},
{
"step": 25,
"from": "A",
"to": "C",
"diskSize": 1,
"description": "Move disk 1 (smallest) from peg A to peg C."
},
{
"step": 26,
"from": "A",
"to": "B",
"diskSize": 2,
"description": "Move disk 2 (second smallest) from peg A to peg B."
},
{
"step": 27,
"from": "C",
"to": "B",
"diskSize": 1,
"description": "Move disk 1 (smallest) from peg C to peg B."
},
{
"step": 28,
"from": "A",
"to": "C",
"diskSize": 3,
"description": "Move disk 3 (medium) from peg A to peg C."
},
{
"step": 29,
"from": "B",
"to": "A",
"diskSize": 1,
"description": "Move disk 1 (smallest) from peg B to peg A."
},
{
"step": 30,
"from": "B",
"to": "C",
"diskSize": 2,
"description": "Move disk 2 (second smallest) from peg B to peg C."
},
{
"step": 31,
"from": "A",
"to": "C",
"diskSize": 1,
"description": "Move disk 1 (smallest) from peg A to peg C."
}
],
"erroneousSolution": [
{
"step": 1,
"from": "A",
"to": "C",
"diskSize": 1,
"description": "Move disk 1 (smallest) from peg A to peg C."
},
{
"step": 2,
"from": "B",
"to": "A",
"diskSize": 2,
"description": "Move disk 2 from peg B to peg A."
},
{
"step": 3,
"from": "C",
"to": "B",
"diskSize": 1,
"description": "Move disk 1 (smallest) from peg C to peg B."
},
{
"step": 4,
"from": "A",
"to": "C",
"diskSize": 3,
"description": "Move disk 3 (medium) from peg A to peg C."
},
{
"step": 5,
"from": "B",
"to": "A",
"diskSize": 1,
"description": "Move disk 1 (smallest) from peg B to peg A."
},
{
"step": 6,
"from": "B",
"to": "C",
"diskSize": 2,
"description": "Move disk 2 (second smallest) from peg B to peg C."
},
{
"step": 7,
"from": "A",
"to": "C",
"diskSize": 1,
"description": "Move disk 1 (smallest) from peg A to peg C."
},
{
"step": 8,
"from": "A",
"to": "B",
"diskSize": 4,
"description": "Move disk 4 (second largest) from peg A to peg B."
},
{
"step": 9,
"from": "C",
"to": "B",
"diskSize": 1,
"description": "Move disk 1 (smallest) from peg C to peg B."
},
{
"step": 10,
"from": "C",
"to": "A",
"diskSize": 2,
"description": "Move disk 2 (second smallest) from peg C to peg A."
},
{
"step": 11,
"from": "B",
"to": "A",
"diskSize": 1,
"description": "Move disk 1 (smallest) from peg B to peg A."
},
{
"step": 12,
"from": "C",
"to": "B",
"diskSize": 3,
"description": "Move disk 3 (medium) from peg C to peg B."
},
{
"step": 13,
"from": "A",
"to": "C",
"diskSize": 1,
"description": "Move disk 1 (smallest) from peg A to peg C."
},
{
"step": 14,
"from": "A",
"to": "B",
"diskSize": 2,
"description": "Move disk 2 (second smallest) from peg A to peg B."
},
{
"step": 15,
"from": "C",
"to": "B",
"diskSize": 1,
"description": "Move disk 1 (smallest) from peg C to peg B."
},
{
"step": 16,
"from": "A",
"to": "C",
"diskSize": 5,
"description": "Move disk 5 (largest) from peg A to peg C."
},
{
"step": 17,
"from": "B",
"to": "A",
"diskSize": 1,
"description": "Move disk 1 (smallest) from peg B to peg A."
},
{
"step": 18,
"from": "B",
"to": "C",
"diskSize": 2,
"description": "Move disk 2 (second smallest) from peg B to peg C."
},
{
"step": 19,
"from": "A",
"to": "C",
"diskSize": 1,
"description": "Move disk 1 (smallest) from peg A to peg C."
},
{
"step": 20,
"from": "B",
"to": "A",
"diskSize": 3,
"description": "Move disk 3 (medium) from peg B to peg A."
},
{
"step": 21,
"from": "C",
"to": "B",
"diskSize": 1,
"description": "Move disk 1 (smallest) from peg C to peg B."
},
{
"step": 22,
"from": "C",
"to": "A",
"diskSize": 2,
"description": "Move disk 2 (second smallest) from peg C to peg A."
},
{
"step": 23,
"from": "B",
"to": "A",
"diskSize": 1,
"description": "Move disk 1 (smallest) from peg B to peg A."
},
{
"step": 24,
"from": "B",
"to": "C",
"diskSize": 4,
"description": "Move disk 4 (second largest) from peg B to peg C."
},
{
"step": 25,
"from": "A",
"to": "C",
"diskSize": 1,
"description": "Move disk 1 (smallest) from peg A to peg C."
},
{
"step": 26,
"from": "A",
"to": "B",
"diskSize": 2,
"description": "Move disk 2 (second smallest) from peg A to peg B."
},
{
"step": 27,
"from": "C",
"to": "B",
"diskSize": 1,
"description": "Move disk 1 (smallest) from peg C to peg B."
},
{
"step": 28,
"from": "A",
"to": "C",
"diskSize": 3,
"description": "Move disk 3 (medium) from peg A to peg C."
},
{
"step": 29,
"from": "B",
"to": "A",
"diskSize": 1,
"description": "Move disk 1 (smallest) from peg B to peg A."
},
{
"step": 30,
"from": "B",
"to": "C",
"diskSize": 2,
"description": "Move disk 2 (second smallest) from peg B to peg C."
},
{
"step": 31,
"from": "A",
"to": "C",
"diskSize": 1,
"description": "Move disk 1 (smallest) from peg A to peg C."
}
],
"errorStep": 2,
"optimalMoveCount": 31,
"question": "The move sequence below contains exactly one illegal move. Identify the step number that violates the rules and explain why it is wrong.",
"rules": [
"Only one disk may be moved at a time.",
"A disk can only be placed on top of a larger disk or on an empty peg.",
"You must move the entire stack from peg A to peg C."
],
"hint": "An illegal move places a larger disk on top of a smaller one, or moves a disk that is not on top of its stack.",
"_archetype": null,
"_generatorId": null
}