1、数组的增删查
// to run this program: C>java ArrayAppclass Array
{
private long[] a;
private int nElems;
public Array(int max) // constructor
{
a = new long[max]; // create the array
nElems = 0; // no items yet
}
//-----------------------------------------------------------
public boolean find(long searchKey)
{ // find specified value
int j;
for(j=0; j<nElems; j++) // for each element,
if(a[j] == searchKey) // found item?
break; // exit loop before end
if(j == nElems) // gone to end?
return false; // yes, can't find it
else
return true; // no, found it
} // end find()
//-----------------------------------------------------------
public void insert(long value) // put element into array
{
a[nElems] = value; // insert it
nElems++; // increment size
}
//-----------------------------------------------------------
public boolean delete(long value)
{
int j;
for(j=0; j<nElems; j++) // look for it
if( value == a[j] )
break;
if(j==nElems) // can't find it
return false;
else // found it
{
for(int k=j; k<nElems; k++) // move higher ones down
a[k] = a[k+1];
nElems--; // decrement size
return true;
}
} // end delete()
//-----------------------------------------------------------
public void display() // displays array contents
{
for(int j=0; j<nElems; j++) // for each element,
System.out.print(a[j] + " "); // display it
System.out.println("");
}
//-----------------------------------------------------------
} // end class HighArray
////////////////////////////////////////////////////////////////
class ArrayApp
{
public static void main(String[] args)
{
int maxSize = 100; // array size
HighArray arr; // reference to array
arr = new HighArray(maxSize); // create the array
arr.insert(77); // insert 10 items
arr.insert(99);
arr.insert(44);
arr.insert(55);
arr.insert(22);
arr.insert(88);
arr.insert(11);
arr.insert(00);
arr.insert(66);
arr.insert(33);
arr.display(); // display items
int searchKey = 35; // search for item
if( arr.find(searchKey) )
System.out.println("Found " + searchKey);
else
System.out.println("Can't find " + searchKey);
arr.delete(00); // delete 3 items
arr.delete(55);
arr.delete(99);
arr.display(); // display items again
} // end main()
} // end class HighArrayApp
2、有序数组的二分查找
// orderedArray.java
// demonstrates ordered array class
// to run this program: C>java OrderedApp
////////////////////////////////////////////////////////////////
class OrdArray
{
private long[] a; // ref to array a
private int nElems; // number of data items
//-----------------------------------------------------------
public OrdArray(int max) // constructor
{
a = new long[max]; // create array
nElems = 0;
}
//-----------------------------------------------------------
public int size()
{ return nElems; }
//-----------------------------------------------------------
public int find(long searchKey)
{
int lowerBound = 0;
int upperBound = nElems-1;
int curIn;
while(true)
{
curIn = (lowerBound + upperBound ) / 2;
if(a[curIn]==searchKey)
return curIn; // found it
else if(lowerBound > upperBound)
return nElems; // can't find it
else // divide range
{
if(searchKey > a[curIn])
lowerBound = curIn + 1; // it's in upper half
else
upperBound = curIn - 1; // it's in lower half
} // end else divide range
} // end while
} // end find()
//-----------------------------------------------------------
public void insert(long value) // put element into array
{
int j;
for(j=0; j<nElems; j++) // find where it goes
if(value < a[j]) // (linear search)
break;
for(int k=nElems; k>j; k--) // move bigger ones up
a[k] = a[k-1];
a[j] = value; // insert it
nElems++; // increment size
} // end insert()
//-----------------------------------------------------------
public boolean delete(long value)
{
int j = find(value);
if(j==nElems) // can't find it
return false;
else // found it
{
for(int k=j; k<nElems; k++) // move bigger ones down
a[k] = a[k+1];
nElems--; // decrement size
return true;
}
} // end delete()
//-----------------------------------------------------------
public void display() // displays array contents
{
for(int j=0; j<nElems; j++) // for each element,
System.out.print(a[j] + " "); // display it
System.out.println("");
}
//-----------------------------------------------------------
} // end class OrdArray
////////////////////////////////////////////////////////////////
class OrderedApp
{
public static void main(String[] args)
{
int maxSize = 100; // array size
OrdArray arr; // reference to array
arr = new OrdArray(maxSize); // create the array
arr.insert(77); // insert 10 items
arr.insert(99);
arr.insert(44);
arr.insert(55);
arr.insert(22);
arr.insert(88);
arr.insert(11);
arr.insert(00);
arr.insert(66);
arr.insert(33);
int searchKey = 55; // search for item
if( arr.find(searchKey) != arr.size() )
System.out.println("Found " + searchKey);
else
System.out.println("Can't find " + searchKey);
arr.display(); // display items
arr.delete(00); // delete 3 items
arr.delete(55);
arr.delete(99);
arr.display(); // display items again
} // end main()
} // end class OrderedApp
线性查找 O(N)
二分查找 O(logN)
无序数组的插入 O(1)
有序数组的插入 O(N)
无序数组的删除 O(N)
有序数组的删除 O(N)