Java 我的分割序列代码并不能解决它遇到的所有问题

Java 我的分割序列代码并不能解决它遇到的所有问题,java,arrays,sequence,dynamic-programming,Java,Arrays,Sequence,Dynamic Programming,这个问题是关于正整数序列a1,a2,…,aN。序列的子序列是通过删除某些元素而获得的任何结果。例如,3,7,11,3是6的子序列,3,11,5,7,4,3,11,5,3,但3,3,7不是6,3,11,5,7,4,3,11,5,3的子序列 全分割序列是序列a1,a2,…,其中ai在i0&¤t>0&&……我已经将您的代码的结果与上次更新后的代码进行了比较。对于我定义的11个测试,这两种解决方案都给出了相同的结果。这是一个不错的答案,但我不相信它在大型阵列上会表现得那么好,因为它是O(n!

这个问题是关于正整数序列a1,a2,…,aN。序列的子序列是通过删除某些元素而获得的任何结果。例如,3,7,11,3是6的子序列,3,11,5,7,4,3,11,5,3,但3,3,7不是6,3,11,5,7,4,3,11,5,3的子序列

全分割序列是序列a1,a2,…,其中ai在i
  protected static int[] subsequence(int[] seq) {
    int[] longestSub = new int[0];
    for (int i = 0; i < seq.length; i++) {
      int[] subAtI = subseq(subarray(seq, i));
      if (longestSub.length < subAtI.length) {
        longestSub = subAtI;
      }
    }
    return longestSub;
  }

  private static int[] subseq(int[] seq) {
    if (seq.length == 1) {
      return seq;
    }

    int[] longestSub = new int[0];
    int current = seq[0];
    for (int i = 1; i < seq.length; i++) {
      int number = seq[i];
      if (number > 0 && current > 0 && number % current == 0) {
        int[] subAtI = subseq(subarray(seq, i));
        if (longestSub.length < subAtI.length) {
          longestSub = subAtI;
        }
      }
    }

    return concat(current, longestSub);
  }

  private static int[] concat(int current, int[] sub) {
    int[] result = new int[sub.length + 1];
    result[0] = current;
    System.arraycopy(sub, 0, result, 1, sub.length);
    return result;
  }

  private static int[] subarray(int[] seq, int i) {
    int length = seq.length - i;
    int[] result = new int[length];
    System.arraycopy(seq, i, result, 0, length);
    return result;
  }
给定一个整数序列,您的目标是找到该序列的最长全除子序列的长度

  protected static int[] subsequence(int[] seq) {
    int[] longestSub = new int[0];
    for (int i = 0; i < seq.length; i++) {
      int[] subAtI = subseq(subarray(seq, i));
      if (longestSub.length < subAtI.length) {
        longestSub = subAtI;
      }
    }
    return longestSub;
  }

  private static int[] subseq(int[] seq) {
    if (seq.length == 1) {
      return seq;
    }

    int[] longestSub = new int[0];
    int current = seq[0];
    for (int i = 1; i < seq.length; i++) {
      int number = seq[i];
      if (number > 0 && current > 0 && number % current == 0) {
        int[] subAtI = subseq(subarray(seq, i));
        if (longestSub.length < subAtI.length) {
          longestSub = subAtI;
        }
      }
    }

    return concat(current, longestSub);
  }

  private static int[] concat(int current, int[] sub) {
    int[] result = new int[sub.length + 1];
    result[0] = current;
    System.arraycopy(sub, 0, result, 1, sub.length);
    return result;
  }

  private static int[] subarray(int[] seq, int i) {
    int length = seq.length - i;
    int[] result = new int[length];
    System.arraycopy(seq, i, result, 0, length);
    return result;
  }
考虑序列2,3,7,8,14,39145,76320

它有一个长度为3的完全分割序列,即2,8320,但没有长度为4或更大的序列

考虑序列2,11,16,12,36,60,71,17,29144288129432993

它有两个长度为5-(2,12,36144288)或(2,12,36144432)的完全分割子序列

为了解决这个问题,我编写了以下代码:

import java.util.Scanner;

class DivSeq {

  private int n, input[];

  void accept() {
    Scanner sc = new Scanner(System.in);
    n = sc.nextInt();
    input = new int[n];
    for(int i = 0; i<n; i++)
    input[i] = sc.nextInt();
    sc.close();         
}

int size(int a[]) {
    //this function returns the number of non zero entries in an array
    int ctr = 0;
    for(int i = 0; i<a.length; i++) {
        if(a[i]==0)
        break;
        else
        ctr++;
    }
    return ctr;
  }

  int sequence() {
    int subseq[], pvrseq[], seq[], j, a = 1, q, k = 1, f = 0;
    subseq = new int [n]; 
    pvrseq = new int [n];
    seq = new int [n]; 
    for(int i = 0; i<n-1; i++) {
        k = 1;
        for(int c = 0; c<seq.length; c++)
        seq[c] = 0;
        //seq has been initialized, now inserting 1st value
        seq[0] = input[i];
        //creating the sequence
        for(j = i+1; j<n; j++) {
            if(input[j]%input[i]==0) 
            seq[k++] = input[j];
        }
        //if size of sequence is 1, then there is no use of checking it
        if(size(seq)<2)
        continue;
        subseq[0] = seq[0];
        a = 1;
        while(a<size(seq)-1) {
            k = 2;
            for(int p = a; p<size(seq)-1; p++) {
                //initial value of subsequence
                if(subseq[1] == 0)
                subseq[1] = seq[p];
                //creating the subsequence
                for(q = p+1; q<size(seq); q++) {  

                    if(seq[q]%seq[p]==0) {
                        subseq[k++] = seq[q];
                        p = q-1;
                        f = 1;
                        break;
                    }

                }
                if(f==1 && q==size(seq)-1)
                break;
            }

            //checking the size of subsequence and previous sequence

            if(size(pvrseq)<size(subseq)) {

                 for(int y = 0; y<subseq.length; y++)
                 pvrseq[y] = subseq[y];

                 for(int y = 1; y<subseq.length; y++)
                 subseq[y] = 0;
            }
            a++;
        }           
    }

    return size(pvrseq);
  }

  public static void main(String [] args) {
    DivSeq obj = new DivSeq();
    obj.accept();
    System.out.println(obj.sequence());
  }

}
import java.util.Scanner;
类DivSeq{
私有整数n,输入[];
无效接受(){
扫描仪sc=新的扫描仪(System.in);
n=sc.nextInt();
输入=新整数[n];

对于(int i=0;i我将采用递归方法来确定序列的最长子序列

  protected static int[] subsequence(int[] seq) {
    int[] longestSub = new int[0];
    for (int i = 0; i < seq.length; i++) {
      int[] subAtI = subseq(subarray(seq, i));
      if (longestSub.length < subAtI.length) {
        longestSub = subAtI;
      }
    }
    return longestSub;
  }

  private static int[] subseq(int[] seq) {
    if (seq.length == 1) {
      return seq;
    }

    int[] longestSub = new int[0];
    int current = seq[0];
    for (int i = 1; i < seq.length; i++) {
      int number = seq[i];
      if (number > 0 && current > 0 && number % current == 0) {
        int[] subAtI = subseq(subarray(seq, i));
        if (longestSub.length < subAtI.length) {
          longestSub = subAtI;
        }
      }
    }

    return concat(current, longestSub);
  }

  private static int[] concat(int current, int[] sub) {
    int[] result = new int[sub.length + 1];
    result[0] = current;
    System.arraycopy(sub, 0, result, 1, sub.length);
    return result;
  }

  private static int[] subarray(int[] seq, int i) {
    int length = seq.length - i;
    int[] result = new int[length];
    System.arraycopy(seq, i, result, 0, length);
    return result;
  }

@LuCio和@Aldert我找到了另一种解决问题的方法。下面是代码:

    import java.util.Scanner;

    class DivSeqUpdated {

      private int n, input[], weight[];

      void accept() {
        Scanner sc = new Scanner(System.in);
        n = sc.nextInt();
        input = new int[n];
        weight = new int[n];
        for(int i = 0; i<n; i++)
        input[i] = sc.nextInt();
        sc.close();
      }

      int max(int x, int y) {
        return x<y?y:x;
      }

      int sequence(int src, int a[], int n) {
        if(weight[src]==-1) {
            int i, tmp = 0;
            for(i = src+1; i<n; i++) {
                if(a[i]%a[src]==0)
                tmp = max(tmp, sequence(i,a,n));
            }
            weight[src] = tmp+1;
        }
        return weight[src];
      }

      public static void main(String [] args) {
        DivSeqUpdated obj = new DivSeqUpdated();
        obj.accept();
        for(int i = 0; i<obj.n; i++)
        obj.weight[i] = -1;
        int tmp = 0;
        for(int i = 0; i<obj.n; i++) 
        tmp = obj.max(tmp, obj.sequence(i,obj.input,obj.n));
        System.out.println(tmp);
      }    

  }
import java.util.Scanner;
类divseq已更新{
私有整数n,输入[],权重[];
无效接受(){
扫描仪sc=新的扫描仪(System.in);
n=sc.nextInt();
输入=新整数[n];
权重=新整数[n];

对于(int i=0;如果您编辑问题以包含测试用例的预期输出和实际输出,这将非常有用。您好dave,我已编辑它以包含测试用例。@c2yCharlie您的代码在以下情况下给出了错误的o/p。*************************************1 46***************6 2 4 232 8 464感谢您的帮助。但是,它给出了一个答案3/11测试的结果通过了。所以有一些不足之处。我希望你能调查一下。@c2yCharlie 3/11是一个糟糕的结果:)你能给我看看这些测试序列吗?没有mate:(那些案例被平台隐藏了。即使我也看不到这些案例是什么。只有两个可见的测试案例(上面提到的案例1和案例2)并且您的代码通过了它们。我的代码似乎通过了4/11:(@c2charlie我添加了一个条件:
number>0&¤t>0&&……
我已经将您的代码的结果与上次更新后的代码进行了比较。对于我定义的11个测试,这两种解决方案都给出了相同的结果。这是一个不错的答案,但我不相信它在大型阵列上会表现得那么好,因为它是O(n!)我相信我甚至可以进一步优化我的答案,我喜欢谜题。@Aldert我希望看到上面更优化的代码。@Aldert当然可以,伙计……等待你的答案!