If there are N discs, the minimum number of moves required is 2N - 1.
The number of moves required to solve the Hanoi tower is 2m + 1 . Therefore for a tower of five disks the minimum number of moves required is: 31.
The number of moves required to solve the Hanoi tower is 2m + 1 . Therefore for a tower of five disks the minimum number of moves required is: 31.
2^64-1 = 18446744073709551615
For any n-disc version of the Tower of Hanoi, the optimum solution for the puzzle takes a minimum of 2n-1 moves. In the case of 6, 7, 8-sized Towers of Hanoi, the puzzle would take: 26-1 = 63, 27-1 = 127, 28-1 = 255 moves.
There is a formula for calculating the number of moves. The formula is 2^n-1. This means that to move one disk the number of moves can be calculated as 2^1-1. For two disks the calculation is 2^2-1. Using this formula the answer 1023 can be found
The least number of moves required to solve the Tower of Hanoi puzzle with 5 disks is calculated using the formula (2^n - 1), where (n) is the number of disks. For 5 disks, this results in (2^5 - 1 = 32 - 1 = 31) moves. Therefore, the minimum number of moves needed is 31.
This algorithm reads the value of number of discs and prints the move that are to be done for playing towers of hanoi.Pre: n is a positive integer which carries the value of number of discs.Post: prints the moves that are to be done for transferring discs in ascending order in another peg1.initialize value of n(positive integer greater than 1)2.moves = pow(2,disk)-13.if(n=1)i) moves disk from "from" to "to"4. end if5. elsei)hanoi(n-1,from,aux,to)ii) moves disc from "from" to "to''iii) hanoi(n-i,from,aux,to)6.end else7. prints the movesend towers_of_hanoi
If by that you mean the formula for finding the lowest number of moves required, then the formula is 2(n)-1 where n is the number of discs used. So if you use 4 discs, you take 2 to the 4th, or 16, and subtract 1, giving you 16-1, or 15.
To move n disks, you need 2n-1moves. In this case, 31.
32
18