java - USACO Calf Flac Palindrone 超时

Question

这是问题陈述：在测试回文时忽略标点符号、空格、数字和大小写，但保留这些额外的字符，以便您可以将它们打印出来作为答案；只需考虑字母A-Z' andaz'。

在长度不超过 20,000 个字符的字符串中找到最大的回文数。在删除空格和标点符号之前，最大的回文保证最多有 2,000 个字符。

输出的第一行应该是找到的最长回文的长度。下一行或多行应该是打印在一行上的回文的实际文本（没有任何周围的空格或标点符号，但包含所有其他字符）（如果回文文本中包含换行符，则为多行）。如果有多个最长的回文，则输出第一个出现的回文。

我试图只用字母遍历字符串，并测试 i （奇数长度）或 i 和 i - 1 （偶数长度）是回文的中间。我的代码可以工作，但是太慢了，并且在 10 个测试用例 8 上超时。目前，测试需要 1.9 秒，最大限制是 1 秒。

我的代码

import java.io.*;
import java.util.*;

class calfflac { 
  public static void main (String [] args) throws IOException {
    BufferedReader f = new BufferedReader(new FileReader("calfflac.in"));
    PrintWriter out = new PrintWriter(new BufferedWriter(new FileWriter("calfflac.out")));
    String line = "";
    while(true) {
        String l = f.readLine();
        if(l == null) break;
        line += l + "\n";
    }
    String temp = line;
    line = line.toLowerCase();
    String rem = "";
    ArrayList<Integer> map = new ArrayList<Integer>();
    /* Mapping the index of the letter in the String with parsed chars
     *  to the index of the letter in the original String */
    for(int i = 0; i < line.length(); i++) {
        if(Character.isLetter(line.charAt(i))) {
            map.add(i);
            rem += line.substring(i, i + 1);
        }
    }
    int longest = 0; // longest palindrome length
    int left = 0; // first char index of the palindrome
    int right = 0; // last char index of the palindrome
    for(int i = 1; i < rem.length() - longest / 2; i++) {
        int[] n = getPali(i, i, rem, longest / 2); // odd length palidrome
        if(n[1] - n[0] > longest && n[0] != i) {
            longest = n[1] - n[0] + 1;
            left = n[0];
            right = n[1];
        }
        n = getPali(i - 1, i, rem, longest / 2); // even length palindrome
        if(n[1] - n[0] > longest && n[0] != i - 1) {
            longest = n[1] - n[0] + 1;
            left = n[0];
            right = n[1];
        }
    }
    out.println(longest);
    // getting the indices of the first and last char in the original substring and printing it.
    out.println(temp.substring(map.get(left), map.get(right) + 1));
    out.close();
    f.close();
    System.exit(0);
  }

  // checks if a given String is a palindrome
  public static boolean isPali(String str) {
      for(int i = 0; i < str.length() / 2 + 1; i++) {
          if(str.charAt(i) != str.charAt(str.length() - 1 - i)) {
              return false;
          }
      }
      return true;
  }

  /*
   * returns the indices of the first and last chars of the largest palindrome with left, right as the middle
   * right == left is a palindrome of odd length
   * right - left == 1 is a palindrome of even length
   */
  public static int[] getPali(int left, int right, String str, int longest) {
      if(left - longest < 0 || right + longest >= str.length()) {
          return new int[]{left, right};
      }
      // checks if the String is a palidrome. I think I can somehow delete this check, but not sure how
      if(!isPali(str.substring(left - longest, right + longest + 1))) {
          return new int[]{left, right};
      }

      left = left - longest;
      right = right + longest;
      for(int i = 0; i < str.length() / 2; i++) {
          if(left < 0 || right > str.length() - 1) return new int[]{left + 1, right - 1};
          if(str.charAt(left) == str.charAt(right)) { // compares the next two chars. Checks inside out
              left--;
              right++;
          } else {
              break;
          }
      }
      return new int[]{left + 1, right - 1};
  }


}

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我想我可以通过同时做偶回文和奇回文来让它更快，但我不知道怎么做。我也在想，如果回文的内部比我迄今为止发现的最长的回文短，那么它可能不必测试回文的内部。有人可以给我一个关于如何优化或使我的代码更快的提示吗？

score 1 · Accepted Answer

我认为您将问题复杂化了，我会尽力提供帮助，但我的 java 有点生疏，所以我会以非常失落的形式编写代码，我将在编辑中解释我的解决方案。

int maxPalindrom(String x){
    int max = 0;
    int current;
    for(int i=0; i<x.length - 1; i++){
        current = 1;
        for(int j = 1; j < min(x.length - i, i); j ++){
            if(x[i-j] == x[i+j])
                current += 2;
            else
                break;
        }
        if (current > max) current = max;
        current = 0;
        for(int j = 0; j < min(x.length - i, i); j ++){
            if(x[i - j] == x[i + 1 - j])
                current += 2;
            else
                break;
        }
        if (current > max) current = max;
    }
    return max;
}

更新

回文可以是aaxaaoraxxa所以我在字符串上迭代到并且我移动 i 所以它会在x第一个内循环和x第二个内循环的第一个上，我更新current直到我找到一个案例将打破回文。max如果current有更高的价值，我会更新。您可以通过考虑外部循环中的最大值来进一步优化此代码

我希望这对您有所帮助，如果您还有其他问题，请不要犹豫。

java - USACO Calf Flac Palindrone 超时

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