Problem p02289 (C++)

Buggy submission (status: Time Limit Exceeded):
#include <climits>
#include <iostream>
#include <vector>

using namespace std;

class Heap {
private:
public:
  Heap() { node.push_back(0); };

  void print() {
    long n = node.size();
    for (long i = 1; i < n; ++i)
      cout << " " << node[i];
    cout << endl;
  };

  void insert(long num) { node.push_back(num); };

  long left(long i) { return (2 * i); };
  long right(long i) { return (2 * i + 1); };
  long parent(long i) { return (i / 2); };

  void maxHeapify(long i) {
    long l = left(i);
    long r = right(i);
    long nodeSize = node.size() - 1;
    long largest = 0;

    if (l <= nodeSize && node[l] > node[i]) {
      largest = l;
    } else {
      largest = i;
    }

    if (r <= nodeSize && node[r] > node[largest])
      largest = r;

    if (largest != i) {
      long buf = node[i];
      node[i] = node[largest];
      node[largest] = buf;
      maxHeapify(largest);
    }
  };

  void buildMaxHeap() {
    long nodeSize = node.size() - 1;
    for (long i = nodeSize; i > 0; --i)
      maxHeapify(i);
  };

  long getNodesize() { return node.size(); };

protected:
  vector<long> node;
};

class PriorityQueue : public Heap {
private:
  void heapIncreaseKey(long i, long num) {
    node[i] = num;
    while (i > 1 && (node[parent(i)] < node[i])) {
      long pi = parent(i);
      long buf = node[i];
      node[i] = node[pi];
      node[pi] = buf;
      i = pi;
    }
  };

public:
  void maxHeapInsert(long num) {
    insert(LONG_MIN);
    long i = getNodesize() - 1;
    heapIncreaseKey(i, num);
  };

  long extractMax() {
    long heapSize = getNodesize() - 1;
    if (heapSize < 1)
      return LONG_MIN;

    long max = node[1];
    node[1] = node[heapSize];
    node.pop_back();
    maxHeapify(1);
    return max;
  };

protected:
};

int main() {
  PriorityQueue priorityQueue;
  do {
    string str = "";
    cin >> str;
    if (str == "insert") {
      long num = 0;
      cin >> num;
      priorityQueue.maxHeapInsert(num);
    } else if (str == "extract") {
      cout << priorityQueue.extractMax() << endl;
    } else if (str == "end") {
      break;
    }
  } while (true);
  return 0;
}

Fixed submission:
#include <climits>
#include <iostream>
#include <vector>

using namespace std;

class Heap {
private:
public:
  Heap() { node.push_back(0); };

  void print() {
    long n = node.size();
    for (long i = 1; i < n; ++i)
      cout << " " << node[i];
    cout << endl;
  };

  void insert(long num) { node.push_back(num); };

  long left(long i) { return (2 * i); };
  long right(long i) { return (2 * i + 1); };
  long parent(long i) { return (i / 2); };

  void maxHeapify(long i) {
    long l = left(i);
    long r = right(i);
    long nodeSize = node.size() - 1;
    long largest = 0;

    if (l <= nodeSize && node[l] > node[i]) {
      largest = l;
    } else {
      largest = i;
    }

    if (r <= nodeSize && node[r] > node[largest])
      largest = r;

    if (largest != i) {
      long buf = node[i];
      node[i] = node[largest];
      node[largest] = buf;
      maxHeapify(largest);
    }
  };

  void buildMaxHeap() {
    long nodeSize = node.size() - 1;
    for (long i = nodeSize; i > 0; --i)
      maxHeapify(i);
  };

  long getNodesize() { return node.size(); };

protected:
  vector<long> node;
};

class PriorityQueue : public Heap {
private:
  void heapIncreaseKey(long i, long num) {
    node[i] = num;
    while (i > 1 && (node[parent(i)] < node[i])) {
      long pi = parent(i);
      long buf = node[i];
      node[i] = node[pi];
      node[pi] = buf;
      i = pi;
    }
  };

public:
  void maxHeapInsert(long num) {
    insert(LONG_MIN);
    long i = getNodesize() - 1;
    heapIncreaseKey(i, num);
  };

  long extractMax() {
    long heapSize = getNodesize() - 1;
    if (heapSize < 1)
      return LONG_MIN;

    long max = node[1];
    node[1] = node[heapSize];
    node.pop_back();
    maxHeapify(1);
    return max;
  };

protected:
};

int main() {
  ios::sync_with_stdio(false);
  cin.tie(0);

  PriorityQueue priorityQueue;
  do {
    string str = "";
    cin >> str;
    if (str == "insert") {
      long num = 0;
      cin >> num;
      priorityQueue.maxHeapInsert(num);
    } else if (str == "extract") {
      cout << priorityQueue.extractMax() << endl;
    } else if (str == "end") {
      break;
    }
  } while (true);
  return 0;
}