14 Stimmen

Segmentbaum-Java-Implementierung

Kennen Sie eine gute Implementierung eines (binären) Segmentbaum in Java?

13voto

Puneet Jaiswal Punkte 313
public class SegmentTree {
    public static class STNode {
        int leftIndex;
        int rightIndex;
        int sum;
        STNode leftNode;
        STNode rightNode;
    }

    static STNode constructSegmentTree(int[] A, int l, int r) {
        if (l == r) {
            STNode node = new STNode();
            node.leftIndex = l;
            node.rightIndex = r;
            node.sum = A[l];
            return node;
        }
        int mid = (l + r) / 2;
        STNode leftNode = constructSegmentTree(A, l, mid);
        STNode rightNode = constructSegmentTree(A, mid+1, r);
        STNode root = new STNode();
        root.leftIndex = leftNode.leftIndex;
        root.rightIndex = rightNode.rightIndex;
        root.sum = leftNode.sum + rightNode.sum;
        root.leftNode = leftNode;
        root.rightNode = rightNode;
        return root;
    }

    static int getSum(STNode root, int l, int r) {
        if (root.leftIndex >= l && root.rightIndex <= r) {
            return root.sum;
        }
        if (root.rightIndex < l || root.leftIndex > r) {
            return 0;
        }
        return getSum(root.leftNode, l, r) + getSum(root.rightNode, l, r);
    }

    /**
     * 
     * @param root
     * @param index index of number to be updated in original array 
     * @param newValue
     * @return difference between new and old values
     */
    static int updateValueAtIndex(STNode root, int index, int newValue) {
        int diff = 0;
        if(root.leftIndex==root.rightIndex && index == root.leftIndex) {
            // We actually reached to the leaf node to be updated
            diff = newValue-root.sum;
            root.sum=newValue;
            return diff;
        }
        int mid = (root.leftIndex + root.rightIndex) / 2;
        if (index <= mid) {
            diff= updateValueAtIndex(root.leftNode, index, newValue);
        } else {
            diff= updateValueAtIndex(root.rightNode, index, newValue);
        }
        root.sum+=diff;
        return diff;
    }
}

3voto

ShuggyCoUk Punkte 35230

Dies wurde im Rahmen der Open-Source-Software Layout Management SW Paket Projekt

Hier ist ein Link zum Unterpaket

Der Code könnte für Sie nützlich sein. Ich habe ihn weder verifiziert noch ausgeführt, und ich kann die Lizenz, unter der der Code zur Verfügung gestellt wird, bei einer schnellen Suche nach dem Code und der Website nicht finden, also Caveat Emptor.

Vielleicht können Sie die Autoren kontaktieren, aber die letzte Aktivität scheint im August 2008 gewesen zu sein.

2voto

Nagabhushan Baddi Punkte 1062

Hier ist sie:

import java.util.Scanner;

public class MinimumSegmentTree {

    static Scanner in = new Scanner(System.in);

    public static void main(String[] args) {
        final int n = in.nextInt();
        int[] a = new int[n];

        for (int i = 0; i < n; i++) {
            a[i] = in.nextInt();
        }

        int sizeOfSegmentTree = (int) Math.pow(2, Math.ceil(Math.log10(n) / Math.log10(2)));
        sizeOfSegmentTree = 2*sizeOfSegmentTree-1;

//      System.out.println(sizeOfSegmentTree);

        int[] segmentTree = new int[sizeOfSegmentTree];
        formSegmentTree(a, segmentTree, 0, n-1, 0);

//      for(int i=0; i<sizeOfSegmentTree; i++){
//          System.out.print(segmentTree[i]+" ");
//      }
//      System.out.println();

        final int q = in.nextInt();
        for (int i = 0; i < q; i++) {
            int s, e;
            s = in.nextInt();
            e = in.nextInt();

            int minOverRange = getMinimumOverRange(segmentTree, s, e, 0, n-1, 0);
            System.out.println(minOverRange);
        }
    }

    private static int getMinimumOverRange(int[] segmentTree, int qs, int qe, int s, int e, int pos) {
        if (qs <= s && qe >= e) {
            return segmentTree[pos];
        }
        if (qs > e || s > qe) {
            return 10000000;
        }

        int mid = (s + e) / 2;
        return Math.min(getMinimumOverRange(segmentTree, qs, qe, s, mid, 2 * pos + 1),
                getMinimumOverRange(segmentTree, qs, qe, mid+1, e, 2 * pos + 2));
    }

    private static void formSegmentTree(int[] a, int[] segmentTree, int s, int e, int pos) {
        if (e - s == 0) {
            segmentTree[pos] = a[s];
            return;

        }

        int mid = (s + e) / 2;

        formSegmentTree(a, segmentTree, s, mid, 2 * pos + 1);
        formSegmentTree(a, segmentTree, mid+1, e, 2 * pos + 2);

        segmentTree[pos] = Math.min(segmentTree[2 * pos + 1], segmentTree[2 * pos + 2]);

    }

}

0voto

Hui Wang Punkte 1775

Algo- und Einheitstests :

public class NumArrayTest {

        @Test
        public void testUpdateSumRange_WithEmpty() throws Exception {
            NumArray numArray = new NumArray(new int[]{});
            assertEquals(0, numArray.sumRange(0, 0));
        }

        @Test
        public void testUpdateSumRange_WithSingleton() throws Exception {
            NumArray numArray = new NumArray(new int[]{1});
            assertEquals(1, numArray.sumRange(0, 0));
            numArray.update(0, 2);
            assertEquals(2, numArray.sumRange(0, 0));
        }

        @Test
        public void testUpdateSumRange_WithPairElements() throws Exception {
            NumArray numArray = new NumArray(new int[]{1,2,3,4,5,6});
            assertEquals(12, numArray.sumRange(2, 4));
            numArray.update(3, 2);
            assertEquals(10, numArray.sumRange(2, 4));
        }

        @Test
        public void testUpdateSumRange_WithInPairElements() throws Exception {
            NumArray numArray = new NumArray(new int[]{1,2,3,4,5,6,7});
            assertEquals(12, numArray.sumRange(2, 4));
            numArray.update(3, 2);
            assertEquals(10, numArray.sumRange(2, 4));
        }
    }

public class NumArray {

    private final Node root;

    private static class Node {
        private final int begin;
        private final int end;
        private final Node left;
        private final Node right;
        private int sum;

        public Node(int begin, int end, int sum, Node left, Node right) {
            this.begin = begin;
            this.end = end;
            this.sum = sum;
            this.left = left;
            this.right = right;
        }

        public boolean isSingle() {
            return begin == end;
        }

        public boolean contains(int i) {
            return i >= begin && i <= end;
        }

        public boolean inside(int i, int j) {
            return i <= begin && j >= end;
        }

        public boolean outside(int i, int j) {
            return i > end || j < begin;
        }

        public void setSum(int sum) {
            this.sum = sum;
        }
    }

    public NumArray(int[] nums) {
        if (nums.length == 0) {
            root = null;
        } else {
            root = buildNode(nums, 0, nums.length - 1);
        }
    }

    private Node buildNode(int[] nums, int begin, int end) {
        if (begin == end) {
            return new Node(begin, end, nums[begin], null, null);
        } else {
            int mid = (begin + end) / 2 + 1;
            Node left = buildNode(nums, begin, mid - 1);
            Node right = buildNode(nums, mid, end);
            return new Node(begin, end, left.sum + right.sum, left, right);
        }
    }

    public void update(int i, int val) {
        if (root == null) {
            return;
        }
        if (!root.contains(i)) {
            throw new IllegalArgumentException("i not in range");
        }
        update(root, i, val);
    }

    private int update(Node node, int i, int val) {
        if (node.isSingle()) {
            node.setSum(val);
        } else {
            Node nodeToUpdate = node.left.contains(i) ? node.left : node.right;
            int withoutNode = node.sum - nodeToUpdate.sum;
            node.setSum(withoutNode + update(nodeToUpdate, i, val));
        }
        return node.sum;
    }

    public int sumRange(int i, int j) {
        if (root == null) {
            return 0;
        }
        return sumRange(root, i, j);
    }

    private int sumRange(Node node, int i, int j) {
        if (node.outside(i, j)) {
            return 0;
        } else if (node.inside(i, j)) {
            return node.sum;
        } else {
            return sumRange(node.left, i, j) + sumRange(node.right, i, j);
        }
    }

}

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