汉诺塔(又称河内塔)问题是源于印度一个古老传说的益智玩具.如图所示目标柱起始柱辅助柱的汉诺塔模型,有三根高度相同的柱子和一些大小及颜色各不相同的圆盘,三根柱子分别为起始柱、辅助柱及目标柱.已知起始柱上套有
个圆盘,较大的圆盘都在较小的圆盘下面.现把圆盘从起始柱全部移到目标柱上,规则如下:每次只能移动一个圆盘,且每次移动后,每根柱上较大的圆盘不能放在较小的圆盘上面.规定一个圆盘从任一根柱上移动到另一根柱上为一次移动.若将
个圆盘从起始柱移动到目标柱上最少需要移动的次数记为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d81b605b3dbfe66e1e64b4c9f22f254.png)
_______ .![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7eb2aa6aa1d89d4f1cea8a73e444d750.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/006d54905e72dac6b9f6fcf1a6ada6d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d81b605b3dbfe66e1e64b4c9f22f254.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7eb2aa6aa1d89d4f1cea8a73e444d750.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/18/16b7194b-7346-4137-a4d9-a7ae952e559b.png?resizew=185)
22-23高三上·重庆沙坪坝·阶段练习 查看更多[4]
重庆市第八中学2023届高三上学期高考适应性月考(四)数学试题(已下线)专题05 等比数列浙江省温州市第五十一中学2024届高三上学期期末数学试题(已下线)新题型01 新高考新结构二十一大考点汇总-1
更新时间:2022-12-18 16:14:46
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