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算法基础之递归

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算法基础之递归

三个盘子,1-2移到中,将3直接移动到右。再将1-2移动到右

public class Code01_Hanoi {

public static void main(String[] args) {

Hanoi(4);

}

public static void Hanoi(int n) {

leftToRight(n);

}

// 请把1-N层圆盘 从左-》右

public static void leftToRight(int n) {

if (n == 1) { // base case

System.out.println(“Move 1 from left to right”);

return;

}

leftToMid(n - 1);

System.out.println(“Move " + n + " from left to right”);

midToRight(n - 1);

}

// 请把1-N层圆盘 从左-》中

private static void leftToMid(int n) {

if (n == 1) {

System.out.println(“Move 1 from left to mid”);

return;

}

leftToRight(n - 1);

System.out.println(“Move " + n + " from left to mid”);

rightToMid(n - 1);

}

private static void rightToMid(int n) {

if (n == 1) {

System.out.println(“Move 1 from right to mid”);

return;

}

rightToLeft(n - 1);

System.out.println(“Move " + n + " from left to mid”);

leftToMid(n - 1);

}

private static void rightToLeft(int n) {

if (n == 1) {

System.out.println(“Move 1 from right to left”);

return;

}

rightToMid(n - 1);

System.out.println(“Move " + n + " from right to mid”);

midToLeft(n - 1);

}

private static void midToLeft(int n) {

if (n == 1) {

System.out.println(“Move 1 from mid to left”);

return;

}

midToRight(n - 1);

System.out.println(“Move " + n + " from mid to left”);

rightToLeft(n - 1);

}

private static void midToRight(int n) {

if (n == 1) {

System.out.println(“Move 1 from mid to right”);

return;

}

mid 《一线大厂Java面试题解析+后端开发学习笔记+最新架构讲解视频+实战项目源码讲义》无偿开源 威信搜索公众号【编程进阶路】 ToLeft(n - 1);

System.out.println(“Move " + n + " from mid to right”);

leftToRight(n - 1);

}

}

优化:

public class Code02_Hanoi {

public static void main(String[] args) {

func(3, “left”, “right”, “other”);

}

public static void func(int N, String from, String to, String other) {

if (N == 1) {

System.out.println("Move 1 form " + from + " to " + to);

} else {

func(N - 1, from, other, to);

System.out.println(“Move” + N + " form " + from + " to " + to);

func(N - 1, other, to, from);

}

}

}

打印一个字符串的全部子序列:

==============

可以不连续的

// “abc”

// 打印一个字符串的全部子序列

public static List subs(String s) {

char[] chars = s.toCharArray();

String path = “”;

List res = new ArrayList<>();

process(chars, 0, res, path);

return res;

}

// str 固定参数

// 来到了str[index]字符,index是位置

// str[0…index-1]已经走过了!之前的决定,都在path上

// 之前的决定已经不能改变了,就是path

// str[index…]还能决定,之前已经确定,而后面还能自由选择的话,

// 把所有生成的子序列,放入到ans里去

private static void process(char[] chars, int index, List res, String path) {

if (index == chars.length) {

res.add(path);

return;

}

process(chars, index + 1, res, path);

process(chars, index + 1, res, path + chars[index]);

}

打印一个字符串的全部子序列,要求不要出现重复字面值的子序列

=============================

public static List subsNoRepeat(String s) {

char[] chars = s.toCharArray();

String path = “”;

Set set = new HashSet<>();

process1(chars, 0, set, path);

List ans = new ArrayList<>();

for (String cur : set) {

ans.add(cur);

}

return ans;

}

private static void process1(char[] chars, int index, Set res, String path) {

if (index == chars.length) {

res.add(path);

return;

}

process1(chars, index + 1, res, path);

process1(chars, index + 1, res, path + chars[index]);

}

打印一个字符串的全部排列

============

public static List permutation(String s) {

List res = new ArrayList<>();

if (s == null || s.length() == 0) {

return res;

}

char[] chars = s.toCharArray();

List list = new ArrayList<>();

for (char ch : chars) {

list.add(ch);

}

String path = “”;

process(list, path, res);

return res;

}

private static void process(List rest, String path, List res) {

if (rest.isEmpty()) {

res.add(path);

return;

}

for (int i = 0; i < rest.size(); i++) {

char ch = rest.get(i);

rest.remove(i);

process(rest, path + ch, res);

rest.add(i, ch);

}

}

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