Monday, August 8, 2016

LintCode - HashHeap


https://xlinux.nist.gov/dads/HTML/hashheap.html
Definition: An efficient implementation of a priority queue. The linear hash function monotonically maps keys to buckets, and each bucket is a heap.
See also bucket sort.
Note: This is a bucket sort where the buckets are organized as heaps. The linear hash function maps increasing keys into nondecreasing values, that is, key1 > key2 implies h(key1) is greater than or equal to h(key2). It is not clear what happens if a bucket gets full.

Let R be the ratio between the key range and the range of the hash function. If R is so large there is only one bucket, we have a regular heap. If R is one, it is a direct mapped array. This data structure was proposed by Chris L. Kuszmaul <fyodor@nas.nasa.gov> in the news group comp.theory 13 January 1999.

class HashHeap {
    ArrayList<Integer> heap;
    String mode;
    int size_t;
    HashMap<Integer, Node> hash;

    class Node {
        public Integer id;
        public Integer num;

        Node(Node now) {
            id = now.id;
            num = now.num;
        }

        Node(Integer first, Integer second) {

            this.id = first;
            this.num = second;
        }
    }

    public HashHeap(String mod) { // 传入min 表示最小堆,max 表示最大堆
        // TODO Auto-generated constructor stub
        heap = new ArrayList<Integer>();
        mode = mod;
        hash = new HashMap<Integer, Node>();
        size_t = 0;
    }

    int peak() {
        return heap.get(0);
    }

    int size() {
        return size_t;
    }

    Boolean empty() {
        return (heap.size() == 0);
    }

    int parent(int id) {
        if (id == 0) {
            return -1;
        }
        return (id - 1) / 2;
    }

    int lson(int id) {
        return id * 2 + 1;
    }

    int rson(int id) {
        return id * 2 + 2;
    }

    boolean comparesmall(int a, int b) {
        if (a <= b) {
            if (mode == "min")
                return true;
            else
                return false;
        } else {
            if (mode == "min")
                return false;
            else
                return true;
        }

    }

    void swap(int idA, int idB) {
        int valA = heap.get(idA);
        int valB = heap.get(idB);

        int numA = hash.get(valA).num;
        int numB = hash.get(valB).num;
        hash.put(valB, new Node(idA, numB));
        hash.put(valA, new Node(idB, numA));
        heap.set(idA, valB);
        heap.set(idB, valA);
    }

    Integer poll() {
        size_t--;
        Integer now = heap.get(0);
        Node hashnow = hash.get(now);
        if (hashnow.num == 1) {
            swap(0, heap.size() - 1);
            hash.remove(now);
            heap.remove(heap.size() - 1);
            if (heap.size() > 0) {
                siftdown(0);
            }
        } else {
            hash.put(now, new Node(0, hashnow.num - 1));
        }
        return now;
    }

    void add(int now) {
        size_t++;
        if (hash.containsKey(now)) {
            Node hashnow = hash.get(now);
            hash.put(now, new Node(hashnow.id, hashnow.num + 1));

        } else {
            heap.add(now);
            hash.put(now, new Node(heap.size() - 1, 1));
        }

        siftup(heap.size() - 1);
    }

    void delete(int now) {
        size_t--;
        ;
        Node hashnow = hash.get(now);
        int id = hashnow.id;
        int num = hashnow.num;
        if (hashnow.num == 1) {

            swap(id, heap.size() - 1);
            hash.remove(now);
            heap.remove(heap.size() - 1);
            if (heap.size() > id) {
                siftup(id);
                siftdown(id);
            }
        } else {
            hash.put(now, new Node(id, num - 1));
        }
    }

    void siftup(int id) {
        while (parent(id) > -1) {
            int parentId = parent(id);
            if (comparesmall(heap.get(parentId), heap.get(id)) == true) {
                break;
            } else {
                swap(id, parentId);
            }
            id = parentId;
        }
    }

    void siftdown(int id) {
        while (lson(id) < heap.size()) {
            int leftId = lson(id);
            int rightId = rson(id);
            int son;
            if (rightId >= heap.size() || (comparesmall(heap.get(leftId), heap.get(rightId)) == true)) {
                son = leftId;
            } else {
                son = rightId;
            }
            if (comparesmall(heap.get(id), heap.get(son)) == true) {
                break;
            } else {
                swap(id, son);
            }
            id = son;
        }
    }
}



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