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是否是回文串 + boolean[][] dp = new boolean[len][len]; + // 初始化:所有长度为 1 的子串都是回文串 + for (int i = 0; i < len; i++) { + dp[i][i] = true; + } + + char[] charArray = s.toCharArray(); + // 递推开始 固定套路~ + // 先枚举子串长度 + for (int L = 2; L <= len; L++) { + // 枚举左边界,左边界的上限设置可以宽松一些 + for (int i = 0; i < len-L+1; i++) { + // 由 L 和 i 可以确定右边界,即 j - i + 1 = L 得 + int j = L + i - 1; + + if (charArray[i] != charArray[j]) { + dp[i][j] = false; + continue; + } else { + if (j - i < 3) { + dp[i][j] = true; + } else { + dp[i][j] = dp[i + 1][j - 1]; + } + } + + // 只要 dp[i][L] == true 成立,就表示子串 s[i..L] 是回文,此时记录回文长度和起始位置 + if (dp[i][j] && j - i + 1 > maxLen) { + maxLen = j - i + 1; + begin = i; + } + } + } + return s.substring(begin, begin + maxLen); + } + } +} diff --git a/src/aaa/Main.java b/src/aaa/Main.java new file mode 100644 index 0000000..300f7ec --- /dev/null +++ b/src/aaa/Main.java @@ -0,0 +1,47 @@ +package aaa; + +import java.util.Scanner; + +public class Main { + private static int n; + private static int[] arr; + private static int[] sum; + private static int[][] dp; + public static void main(String[] args) { + Scanner sc = new Scanner(System.in); + System.out.print("请输入石子的堆数:"); + n = sc.nextInt(); + arr = new int[2*n]; + sum = new int[2*n]; + for(int i = 1; i <= n; i++){ + arr[i] = sc.nextInt(); + sum[i] = sum[i - 1] + arr[i]; + } + for(int i = n + 1; i <= 2 * n - 1; i++){ + arr[i] = arr[i - n]; + sum[i] = sum[i - 1] + arr[i]; + } + minFun(); + } + + private static void minFun(){ + dp = new int[2 * n][2*n]; + for(int r = 1; r <= n - 1; r++){ + for(int i = 1; i <= 2 * n - 1; i++){ + int j = i + r; + if(j >= 2 * n){ + continue; + } + dp[i][j] = dp[i][i] + dp[i + 1][j] + sum[j] - sum[i - 1]; + for(int k = i + 1; k < j; k++){ + dp[i][j] = Math.min(dp[i][j], dp[i][k] + dp[k + 1][j] + sum[j] - sum[i - 1]); + } + } + } + int result = dp[1][n]; + for(int i = 2; i <= n; i++){ + result = Math.min(result, dp[i][n - 1 + i]); + } + System.out.println("最低得分:"+result); + } +} diff --git a/src/aaa/Main2.java b/src/aaa/Main2.java new file mode 100644 index 0000000..9e5af16 --- /dev/null +++ b/src/aaa/Main2.java @@ -0,0 +1,45 @@ +package aaa; + +import java.util.Arrays; +import java.util.Scanner; + +public class Main2 { + public static void main(String[] args) { + + Scanner sc = new Scanner(System.in); + + while(sc.hasNext()) { + int n = sc.nextInt(); + //所给数组 下标从1~n + int[] num = new int[n+1]; + //前缀和数组 + int[] sum = new int[n+1]; + //dp数组,dp[i][j]表示i到j合并的最小代价,范围是1~n + int[][] dp = new int[n+1][n+1]; + //dp数组初始化 + for(int i=0;i<=n;i++) { + Arrays.fill(dp[i],Integer.MAX_VALUE); + } + sum[0] = 0; + //sum数组初始化 + for(int i=1;i<=n;i++) { + num[i] = sc.nextInt(); + sum[i] = num[i] + sum[i-1]; + dp[i][i] = 0; + } + //区间长度len从小到大 因为大区间依赖于小区间 + for(int len=1; len res = split(str.length()); + for (Integer re : res) { + System.out.print(re+" "); + } + System.out.println(); + } + } + + public static void getNum(String str) { + char[] chars = str.toCharArray(); + int index = 0; + int a=0,b=0; + for (char aChar : chars) { + if(aChar == 'D') a++; + if(aChar == 'K') b++; + nums[index][0] = a; + nums[index++][1] = b; + } + } + + public static List split (int len) { + List res = new ArrayList<>(); + for (int i = 0; i < len; i++) { + int a = nums[i][0]; + int b = nums[i][1]; + if(a == 0 || b == 0) { + res.add(i+1); + continue; + } + if (common(a,b) == 1) { + res.add(1); + }else { + int max = 1; + for(int j=2;j<=common(a,b);j++) { + if(a % j != 0 || b % j != 0) continue; + int width = a/j + b/j; + int right = width-1; + boolean flag = true; + while (right < i) { + int m = nums[right][0]; + int n = nums[right][1]; + if(m/n != a/b) { + flag = false; + break; + } + right = right + width; + } + if(flag) max = Math.max(max,j); + } + res.add(max); + } + } + return res; + } + + public static int common(int a, int b) { + if(a 0) { + cn = next[cn]; + }else { + next[i++] = 0; + } + } + return next; + } + } + + static class solution1 { + public static int manacher(String s) { + if(s == null || s.length() == 0) return 0; + char[] str = manacherString(s); + int[] pArr = new int[str.length]; + int C = -1; + int R = -1; + int max = Integer.MAX_VALUE; + for (int i = 0; i < str.length; i++) { + pArr[i] = R > i ? Math.min(pArr[2*C-1],R-i) : 1; + while (i+pArr[i] < str.length && i-pArr[i] > -1) { + if(str[i+pArr[i]] == str[i-pArr[i]]) { + pArr[i]++; + }else { + break; + } + } + if(i-pArr[i] > R) { + R = i + pArr[i]; + C = i; + } + max = Math.max(max,pArr[i]); + } + return max-1; + } + + public static char[] manacherString(String str) { + char[] charArr = str.toCharArray(); + char[] res = new char[str.length()*2+1]; + int index=0; + for (int i = 0; i < res.length; i++) { + res[i] = (i&1) == 0 ? '#' : charArr[index++]; + } + return res; + } + + } + + static class solution2 { + public static int getIndexOf(String s1 ,String s2) { + if(s1 == null || s2 == null || s2.length() < 1 || s1.length() < s2.length()) return -1; + char[] str1 = s1.toCharArray(); + char[] str2 = s2.toCharArray(); + int x = 0; + int y = 0; + int[] next = getNextArray(str2); + while (x < str1.length && y < str2.length) { + if(str1[x] == str2[y]) { + x++; + y++; + }else if(next[y] == -1) { + x++; + }else { + y = next[y]; + } + } + return y == str2.length ? x-y : -1; + } + + public static int[] getNextArray(char[] str2) { + if(str2.length == 1) return new int[]{-1}; + int[] next = new int[str2.length]; + next[0] = -1; + next[1] = 0; + int i =2; + int cn = 0; + while (i < next.length){ + if(str2[i-1] == str2[cn]) { + next[i++] = ++cn; + } else if(cn > 0) { + cn = next[cn]; + } else { + next[i++] = 0; + } + } + + return next; + } + + } + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +} diff --git a/src/class27/Code01_KMP.java b/src/class27/Code01_KMP.java index 68a51de..c1a6994 100644 --- a/src/class27/Code01_KMP.java +++ b/src/class27/Code01_KMP.java @@ -1,7 +1,9 @@ package class27; - +//KMP : 判断s2是否是s1的子串 public class Code01_KMP { - + /* + next数组:记录s2的每个位置的相同的前缀字符串和后缀字符串(顺序都是左->右)的最长长度 + */ public static int getIndexOf(String s1, String s2) { if (s1 == null || s2 == null || s2.length() < 1 || s1.length() < s2.length()) { return -1; @@ -34,7 +36,7 @@ public class Code01_KMP { next[0] = -1; next[1] = 0; int i = 2; // 目前在哪个位置上求next数组的值 - int cn = 0; // 当前是哪个位置的值再和i-1位置的字符比较 + int cn = 0; // 当前是哪个位置的值在和i-1位置的字符比较 while (i < next.length) { if (str2[i - 1] == str2[cn]) { // 配成功的时候 next[i++] = ++cn; diff --git a/src/class27/Code02_TreeEqual.java b/src/class27/Code02_TreeEqual.java index 657373a..bf9bda2 100644 --- a/src/class27/Code02_TreeEqual.java +++ b/src/class27/Code02_TreeEqual.java @@ -13,7 +13,7 @@ public class Code02_TreeEqual { value = v; } } - + //判断small是否为big的子树,注意子树必须是以其根节点完整的子树,而不是一部分 public static boolean containsTree1(Node big, Node small) { if (small == null) { return true; diff --git a/src/class27/Code03_IsRotation.java b/src/class27/Code03_IsRotation.java index 605cb81..3dc78a4 100644 --- a/src/class27/Code03_IsRotation.java +++ b/src/class27/Code03_IsRotation.java @@ -1,11 +1,15 @@ package class27; public class Code03_IsRotation { - + /* + 判断a是否是b的旋转串 + */ public static boolean isRotation(String a, String b) { if (a == null || b == null || a.length() != b.length()) { return false; } + //自己拼接自己后,b2中就包含所有的b的旋转串,举例就很清晰了 + //12345 1234512345 String b2 = b + b; return getIndexOf(b2, a) != -1; } diff --git a/src/class28/Code01_Manacher.java b/src/class28/Code01_Manacher.java index c75975f..1059a86 100644 --- a/src/class28/Code01_Manacher.java +++ b/src/class28/Code01_Manacher.java @@ -1,5 +1,7 @@ package class28; - +/* +这个算法,感觉得完整看一遍逻辑才行 + */ public class Code01_Manacher { public static int manacher(String s) { @@ -10,7 +12,7 @@ public class Code01_Manacher { char[] str = manacherString(s); // 回文半径的大小 int[] pArr = new int[str.length]; - int C = -1; + int C = -1;//中心位置 // 讲述中:R代表最右的扩成功的位置 // coding:最右的扩成功位置的,再下一个位置 int R = -1; @@ -18,6 +20,7 @@ public class Code01_Manacher { for (int i = 0; i < str.length; i++) { // 0 1 2 // R第一个违规的位置,i>= R // i位置扩出来的答案,i位置扩的区域,至少是多大。 + //在确定是回文的基础上,继续向左右扩展比较,不符合立刻break pArr[i] = R > i ? Math.min(pArr[2 * C - i], R - i) : 1; while (i + pArr[i] < str.length && i - pArr[i] > -1) { if (str[i + pArr[i]] == str[i - pArr[i]]) @@ -26,12 +29,15 @@ public class Code01_Manacher { break; } } + //更新R和C if (i + pArr[i] > R) { R = i + pArr[i]; C = i; } max = Math.max(max, pArr[i]); } + //最大回文半径-1 就是原始字符串中的最大回文子串长度,这个按奇偶举例就明白了 + //121 #1#2#1# 就是4-1=3 ; 1221 #1#2#2#1# 就是5-1=4 均符合max-1 return max - 1; } diff --git a/src/class28/Code02_AddShortestEnd.java b/src/class28/Code02_AddShortestEnd.java index 00d961c..8d9e3c4 100644 --- a/src/class28/Code02_AddShortestEnd.java +++ b/src/class28/Code02_AddShortestEnd.java @@ -1,7 +1,10 @@ package class28; public class Code02_AddShortestEnd { - + /* + 在一个字符串后面追加字符,添加最少的字符,使之成为回文串,返回追加的字符串 + 在manacher算法基础之上,R到最右边时停止即可。 + */ public static String shortestEnd(String s) { if (s == null || s.length() == 0) { return null; @@ -29,6 +32,8 @@ public class Code02_AddShortestEnd { break; } } + //倒着填 注意下标转换,举例说明 + //ab1221 需要ab #a#b#1#2#2#1# char[] res = new char[s.length() - maxContainsEnd + 1]; for (int i = 0; i < res.length; i++) { res[res.length - 1 - i] = str[i * 2 + 1]; diff --git a/src/class33/Hash.java b/src/class33/Hash.java index 2c54b7d..572a839 100644 --- a/src/class33/Hash.java +++ b/src/class33/Hash.java @@ -1,48 +1,48 @@ -package class33; - -import java.security.MessageDigest; -import java.security.NoSuchAlgorithmException; -import java.security.Security; - -import javax.xml.bind.DatatypeConverter; - -public class Hash { - - private MessageDigest hash; - - public Hash(String algorithm) { - try { - hash = MessageDigest.getInstance(algorithm); - } catch (NoSuchAlgorithmException e) { - e.printStackTrace(); - } - } - - public String hashCode(String input) { - return DatatypeConverter.printHexBinary(hash.digest(input.getBytes())).toUpperCase(); - } - - public static void main(String[] args) { - System.out.println("支持的算法 : "); - for (String str : Security.getAlgorithms("MessageDigest")) { - System.out.println(str); - } - System.out.println("======="); - - String algorithm = "MD5"; - Hash hash = new Hash(algorithm); - - String input1 = "zuochengyunzuochengyun1"; - String input2 = "zuochengyunzuochengyun2"; - String input3 = "zuochengyunzuochengyun3"; - String input4 = "zuochengyunzuochengyun4"; - String input5 = "zuochengyunzuochengyun5"; - System.out.println(hash.hashCode(input1)); - System.out.println(hash.hashCode(input2)); - System.out.println(hash.hashCode(input3)); - System.out.println(hash.hashCode(input4)); - System.out.println(hash.hashCode(input5)); - - } - -} +//package class33; +// +//import java.security.MessageDigest; +//import java.security.NoSuchAlgorithmException; +//import java.security.Security; +// +//import javax.xml.bind.DatatypeConverter; +// +//public class Hash { +// +// private MessageDigest hash; +// +// public Hash(String algorithm) { +// try { +// hash = MessageDigest.getInstance(algorithm); +// } catch (NoSuchAlgorithmException e) { +// e.printStackTrace(); +// } +// } +// +// public String hashCode(String input) { +// return DatatypeConverter.printHexBinary(hash.digest(input.getBytes())).toUpperCase(); +// } +// +// public static void main(String[] args) { +// System.out.println("支持的算法 : "); +// for (String str : Security.getAlgorithms("MessageDigest")) { +// System.out.println(str); +// } +// System.out.println("======="); +// +// String algorithm = "MD5"; +// Hash hash = new Hash(algorithm); +// +// String input1 = "zuochengyunzuochengyun1"; +// String input2 = "zuochengyunzuochengyun2"; +// String input3 = "zuochengyunzuochengyun3"; +// String input4 = "zuochengyunzuochengyun4"; +// String input5 = "zuochengyunzuochengyun5"; +// System.out.println(hash.hashCode(input1)); +// System.out.println(hash.hashCode(input2)); +// System.out.println(hash.hashCode(input3)); +// System.out.println(hash.hashCode(input4)); +// System.out.println(hash.hashCode(input5)); +// +// } +// +//}