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Algorithm Basic(1)Algorithm in Java

 
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Algorithm Basic(1)Algorithm in Java 

1. Basic
Time  O(1), O(n),  O(n^2), O(n^3), O(2^n)
Storage 

array is set, it is fast, but the length is set.

Collection 
     —List can have repeat objects
          —ArrayList / LinkedList / Vector
     —Set can not have repeat objects
          —HashSet / TreeSet
Map
     —HashMap
     —HashTable
     —TreeMap

List is interface, Implemented by ArrayList, Vector, LinkedList

ArrayList 
     good for list and search, bad for insert and delete. 
     length is not enough, then increase by 1.5 times and array copy happened, 
     int newCapacity = oldCapacity + (oldCapacity >> 1); 
     Arrays.copyOf(elementData, newCapacity)

         Operator >> System.out.println(10 >> 1);  // 5

         System.arraycopy
     int[] ids1 = { 1, 2, 3, 4, 5 }; 
     int[] ids2 = newint[6];      

     //copy ids1 begin from index 1, copy 3 elements to ids2 from index 0      

     System.arraycopy(ids1, 1, ids2, 0, 3);      

     System.out.println(Arrays.toString(ids2));

     //[2, 3, 4, 0, 0, 0]
      even we do add(int index, object), remove, we need to do array copy…..

LinkedList good for insert and delete
        It is based on linked list.
        void linkLast(E e) {
        final Node<E> l = last;       

        final Node<E> newNode = new Node<>(l, e, null);       

        last = newNode;       

        if (l == null)           

           first = newNode;       

        else           

           l.next = newNode;       

        size++;       

        modCount++;
    }          

Vector is slow than ArrayList
        similar to ArrayList, and we have synchronized in the codes.

Bubblesort for Array

package com.sillycat.easyalgorithm.sort;

 

import java.util.List;

import java.util.Vector;

 

public class Bubblesort implements Sorter {

      @Override

      public void sort(List<Integer> list) {     

          if (list.isEmpty()) {            

             System.out.println("Vector can not be null!");            

             return;      

          }
          Integer bak;      

          boolean flag = true;      

          while (flag) {            

              flag = false;            

              for (inti = 0; i < list.size() - 1; i++) {

                 System.out.println("counting ....");                  

                 bak = list.get(i);                  

                 if (bak > list.get(i + 1)) {                    

                     flag = true;                    

                     list.set(i, list.get(i + 1));                    

                     list.set(i + 1, bak);                  

                 }            

              }      

          }

     }

     public static void main(String[] args) {      

         Vector<Integer> v1 = new Vector<Integer>();      

         v1.add(1);      

         v1.add(9);      

         v1.add(3);      

         v1.add(11);      

         v1.add(6);      

         System.out.println(v1);      

         Bubblesort sort1 = new Bubblesort();      

         sort1.sort(v1);      

         System.out.println(v1);

     }

   }

At most, if we have an array N, we need N scan we have the array in right order. a = 2, f(n)=n^2, T(n) = O(n^2)

2. How to Check if Algorithm is good or bad

Time Complexity

Space Complexity

O(1) Complexity
      Find the random number in an array, not the biggest, not the smallest, just pick first 3 numbers, sort it, pick up the middle number. O(3) + O(3) + O(1) = O(7)
      
O(log n) Complexity

10 to 3 functionality
package com.sillycat.easyalgorithm.basic;

 

public class BaseConversion {      

     public static int convert10to3(intsource){          

         String result = "";          

         while(source != 0){                

             result = source % 3 + result;                

             source = source / 3;          

         }          

         return result.isEmpty()? 0 : Integer.valueOf(result);      

     }      

 

     public static void main(String[] args) {          

         //convert 23(10) = 212(3)          

         System.out.println("23(10) = " + convert10to3(23) + "(3)");          

         //convert 0(10) = 0(3)          

         System.out.println("0(10) = " + convert10to3(0) + "(3)");          

         //convert 101(10) = 10202(3)          

         System.out.println("101(10) = " + convert10to3(101) + "(3)");      

     }

   }

Adjust to convert to N

package com.sillycat.easyalgorithm.basic;

 

public class BaseConversion {      

     public static int convert10toRate(intsource, intrate) {          

        String result = "";          

        while (source != 0) {                

            result = source % rate + result;                

            source = source / rate;          

        }          

        return result.isEmpty() ? 0 : Integer.valueOf(result);      

     }      

 

     public static void main(String[] args) {          

         // convert 23(10) = 212(3)          

         System.out.println("23(10) = " + convert10toRate(23, 3) + "(3)");          

         // convert 0(10) = 0(3)          

         System.out.println("0(10) = " + convert10toRate(0, 3) + "(3)");          

         // convert 101(10) = 10202(3)          

         System.out.println("101(10) = " + convert10toRate(101, 3) + "(3)");        

         System.out.println("==============================");          

         // convert 2(10) = 10(2)          

         System.out.println("2(10) = " + convert10toRate(2, 2) + "(2)");          

         // convert 0(10) = 0(2)          

         System.out.println("0(10) = " + convert10toRate(0, 2) + "(2)");          

         // convert 101(10) = 1100101(2)          

         System.out.println("101(10) = " + convert10toRate(101, 2) + "(2)");      

      }

    }

1 + |log3n| = O(log3n) = O(logn)


References:
http://daiziguizhong.qiniudn.com/article_20140305-18-32-10.html#rd
http://baike.baidu.com/view/7527.htm

http://javarevisited.blogspot.com/2013/03/top-15-data-structures-algorithm-interview-questions-answers-java-programming.html
http://www.cnblogs.com/wanlipeng/archive/2010/10/21/1857791.html
http://www.360doc.com/content/08/1027/15/61497_1833598.shtml

System.arraycopy(…)
http://blog.csdn.net/java2000_net/article/details/4059465


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