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Java example code sharing for solving set subsets

黄舟
黄舟Original
2017-10-16 10:07:481502browse

This article mainly introduces relevant information about examples of solving subsets of sets in Java. I hope this article can help everyone master this method. Friends in need can refer to it

Java example of solving a subset of a set

Method 1: We know the nth power of the number of subsets 2

For example, the subsets of a, b, c

* 000 0 {}
*001 1 a
*010 2 b
*011 3 a,b (b,a)
*100 4 c
* 101 5 a,c (c,a)
* 110 6 b,c (c,b)
* 111 7 a,b,c

Using binary correspondence


@Test 
public void test1() throws Exception { 
   
  Set<ArrayList<Integer>> subsets = getSubsets( Arrays.asList(1,2,6)); 
  Set<ArrayList<String>> subsets2 = getSubsets( Arrays.asList("a","b","c")); 
  Set<ArrayList<Character>> subsets3 = getSubsets( Arrays.asList(&#39;b&#39;,&#39;c&#39;,&#39;d&#39;)); 
  System.out.println(subsets); 
  System.out.println(subsets2); 
  System.out.println(subsets3); 
} 
 
//集合接受各种类型数据 
public <T> Set<ArrayList<T>> getSubsets(List<T> subList) { 
  //考虑去重 
  Set<ArrayList<T>> allsubsets = new LinkedHashSet<>(); 
  int max = 1 << subList.size(); 
  for (int loop = 0; loop < max; loop++) { 
    int index = 0; 
    int temp = loop; 
    ArrayList <T> currentCharList = new ArrayList<T>(); 
    //控制索引 
    while (temp > 0) { 
      if ((temp & 1) > 0) { 
        currentCharList.add(subList.get(index)); 
      } 
      temp >>= 1; 
      index++; 
    } 
    allsubsets.add(currentCharList); 
  } 
  return allsubsets; 
}

Method 2: Induction method


   @Test 
public void testName() throws Exception { 
  Set<List<Integer>> subsets2 = getSubsets2(Arrays.asList(1,2,3)); 
  System.out.println(subsets2); 
} 
 
//方式2 归纳法 
//从{}和最后一个元素开始,每次迭代加一个元素组成一个新的集合 
public  Set<List<Integer>> getSubsets2(List<Integer> list) { 
   if (list.isEmpty()) { 
     Set<List<Integer>> ans=new LinkedHashSet<>(); 
     ans.add(Collections.emptyList()); 
     return ans; 
   } 
    
   Integer first=list.get(0); 
   List<Integer> rest=list.subList(1, list.size()); 
   Set<List<Integer>> list1 = getSubsets2(rest); 
   Set<List<Integer>> list2 = insertAll(first, list1);// 
   System.out.println(list1); 
   System.out.println(list2); 
   System.out.println("================"); 
   return concat(list1, list2); 
} 
 
 
   public  Set<List<Integer>> insertAll(Integer first,Set<List<Integer>> lists){ 
  // 
  Set<List<Integer>> result=new LinkedHashSet<>(); 
  for (List<Integer> list : lists) { 
    List<Integer> copy=new ArrayList<>(); 
    copy.add(first); 
    copy.addAll(list); 
    result.add(copy); 
  } 
  return result; 
} 
   
  //这样写可以不影响lists1,lists2的值 
  private Set<List<Integer>> concat(Set<List<Integer>> lists1,Set<List<Integer>> lists2) { 
  Set<List<Integer>> temp=new LinkedHashSet<>(lists1); 
  temp.addAll(lists2); 
  return temp; 
}

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