题目链接 题目大意:把汉诺双塔按指定顺序排好的最少步数 我写这题写了很久...终于发现不dp不行 把一个双重塔从一根桩柱移动到另一根桩柱需要移动多少次? 最佳策略是移动一个双重 (n-1) 塔,接着移动两个最大的圆盘,然后再次移动双重 (n-1) 塔,从而 $A_n = 2 * A_{n-1} + 2,A_n = 2^{n+1} - 2 $. 这会交换两个最大的圆盘,其余的 \(2n-2\) 个圆盘次序不变. 如果在最后的排列中要把所有同样尺寸的圆盘恢复成原来的从上到下的次序,需要移动多少次?…

我对状态空间的理解:https://www.cnblogs.com/AKMer/p/9622590.html 题目传送门:http://poj.org/problem?id=1958 题目要我们求四柱汉诺塔的步数最小值,将盘子数在\(1\)到\(12\)之间的全部求出来. 状态空间即为移动盘子对应的步数. 对于三柱汉诺塔,相信大家都非常熟悉了.我们假设三柱汉诺塔上有\(n\)个盘子,\(f[n]\)表示将\(n\)个盘子移动到另一根柱子上的最小步数,那么显然: \(f[n]=f[n-1]*2+1…

Description You all must know the puzzle named "The Towers of Hanoi". The puzzle has three pegs and N discs of different radii, initially all disks are located on the first peg, ordered by their radii - the largest at the bottom, the smallest at…

3.4 In the classic problem of the Towers of Hanoi, you have 3 towers and N disks of different sizes which can slide onto any tower. The puzzle starts with disks sorted in ascending order of size from top to bottom (i.e., each disk sits on top of an e…

Strange Towers of Hanoi Time Limit: 1000MS Memory Limit: 30000K Total Submissions: 3784 Accepted: 2376 Description Background  Charlie Darkbrown sits in another one of those boring Computer Science lessons: At the moment the teacher just explains the…

ural 2029 Towers of Hanoi Strike Back 链接:http://acm.timus.ru/problem.aspx?space=1&num=2029 题意:汉诺塔问题,给定一串只有(A, B, C)的字符串(A代表在第一根柱子,B代表在第二根柱子,C代表在第三根柱子),从前往后代表盘子的大小,第 i 个字母代表di i 个盘子在某个柱子上.问移动给定字母状态的盘子最少需要多少步. 思路:首先,从后往前看(最大的盘子),如果不在当前柱子上,那么移动到目标柱子需要 2…

题目传送门 Strange Towers of Hanoi Time Limit: 1000MS   Memory Limit: 30000K Total Submissions: 3117   Accepted: 2004 Description Background Charlie Darkbrown sits in another one of those boring Computer Science lessons: At the moment the teacher just exp…

Towers of Hanoi Time Limit: 3000MS   Memory Limit: 16000K Total Submissions: 2213   Accepted: 986 Case Time Limit: 1000MS Description Surely you have already come across the Towers of Hanoi problem: Wooden disks of different sizes are stacked on thre…

The Towers of Hanoi Revisited Time Limit: 5 Seconds Memory Limit: 32768 KB Special Judge You all must know the puzzle named ��The Towers of Hanoi��. The puzzle has three pegs and N discs of different radii, initially all disks are located on the firs…

Strange Towers of Hanoi 大体意思是要求\(n\)盘4的的hanoi tower问题. 总所周知,\(n\)盘3塔有递推公式\(d[i]=dp[i-1]*2+1\) 令\(f[i]\)为4塔转移步骤. \(f[i]=min(f[i],f[k]*2+d[i-k])\) 即先以4塔以上面的\(k\),再以3塔移\(i-k\),最后以4塔移动回去. 可以推广到\(n\)盘\(m\)塔 2018.5.26…