Tuesday 28 November 2017

Java Program to Implement Segment Tree


Code:

public class SegmentTree
{
    private int[] tree;
    private int maxsize;
    private int height;

    private  final int STARTINDEX = 0; 
    private  final int ENDINDEX;
    private  final int ROOT = 0;

    public SegmentTree(int size)
    {
        height = (int)(Math.ceil(Math.log(size) /  Math.log(2)));
        maxsize = 2 * (int) Math.pow(2, height) - 1;
        tree = new int[maxsize];
        ENDINDEX = size - 1; 
    }

    private int leftchild(int pos)
    {
        return 2 * pos + 1;
    }

    private int rightchild(int pos)
    {
        return 2 * pos + 2;
    }

    private int mid(int start, int end)
    {
        return (start + (end - start) / 2); 
    }

    private int getSumUtil(int startIndex, int endIndex, int queryStart, int queryEnd, int current)
    {
        if (queryStart <= startIndex && queryEnd >= endIndex )
        {
            return tree[current];
        }
        if (endIndex < queryStart || startIndex > queryEnd)
        {
            return 0;
        }
        int mid = mid(startIndex, endIndex);
        return  getSumUtil(startIndex, mid, queryStart, queryEnd, leftchild(current)) 
                 + getSumUtil( mid + 1, endIndex, queryStart, queryEnd, rightchild(current));
    }

    public int getSum(int queryStart, int queryEnd)
    {
        if(queryStart < 0 || queryEnd > tree.length)
        {
            return -1;
        }
        return getSumUtil(STARTINDEX, ENDINDEX, queryStart, queryEnd, ROOT);
    }

    private int constructSegmentTreeUtil(int[] elements, int startIndex, int endIndex, int current)
    {
        if (startIndex == endIndex)
        {
            tree[current] = elements[startIndex];
            return tree[current];
        }
        int mid = mid(startIndex, endIndex);
        tree[current] = constructSegmentTreeUtil(elements, startIndex, mid, leftchild(current))
                           + constructSegmentTreeUtil(elements, mid + 1, endIndex, rightchild(current));
        return tree[current];
    }

    public void constructSegmentTree(int[] elements)
    {
        constructSegmentTreeUtil(elements, STARTINDEX, ENDINDEX, ROOT);
    }

    private void updateTreeUtil(int startIndex, int endIndex, int updatePos, int update, int current)
    {
        if ( updatePos < startIndex || updatePos > endIndex)
        {
            return;
        }
        tree[current] = tree[current] + update;
        if (startIndex != endIndex)
        {
            int mid = mid(startIndex, endIndex);
            updateTreeUtil(startIndex, mid, updatePos, update, leftchild(current));
            updateTreeUtil(mid+1, endIndex, updatePos, update, rightchild(current));
        }
    }

    public void update(int update, int updatePos, int[] elements)
    {
        int updatediff = update - elements[updatePos]  ;
        elements[updatePos] = update;
        updateTreeUtil(STARTINDEX, ENDINDEX, updatePos, updatediff, ROOT);
    }

    public static void main(String...arg)
    {
        int[] elements = {1,3,5,7,9,11};
        SegmentTree segmentTree = new SegmentTree(6);
        segmentTree.constructSegmentTree(elements);
        int num = segmentTree.getSum(1, 5);

        System.out.println("the num is " + num);
        segmentTree.update(10, 5,elements);
        num = segmentTree.getSum(1, 5);
        System.out.println("the num is " + num);
    } 
}



Output:

the sum is 35
the sum is 34



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