Example #1
0
void RunOperation(char operation, const std::vector<std::string>& arguments,  MinHeap<T>& heap, std::ostream& file)
{
	if(operation == 'I')
	{
		auto value = ToInt(arguments[1]);
		heap.Insert(value);
	}
	else if(operation == 'D')
	{
		auto value = ToInt(arguments[1]);
		heap.Delete(value);
	}
	else if(operation == 'C')
	{
		auto oldValue = ToInt(arguments[1]);
		auto newValue = ToInt(arguments[2]);
		heap.Change(oldValue, newValue);
	}
	else if(operation == 'P')
	{
		heap.PrintPostOrder(file);
		file << std::endl;
	}

}
void pushPopTest() {
  MinHeap minHeap;
  std::vector<Pipe> data;
  data.push_back(std::make_pair(9, 1.0));
  data.push_back(std::make_pair(8, 2.0));
  data.push_back(std::make_pair(7, 3.0));
  data.push_back(std::make_pair(6, 4.0));
  data.push_back(std::make_pair(5, 5.0));
  data.push_back(std::make_pair(4, 6.0));
  data.push_back(std::make_pair(3, 7.0));
  data.push_back(std::make_pair(2, 8.0));
  data.push_back(std::make_pair(1, 9.0));
  std::random_shuffle(data.begin(), data.end());
  for (auto const& pipe : data)
    minHeap.push(pipe);
  int sum = 0;
  int last = INT_MAX; 
  while (!minHeap.empty()) {
    const auto& pipe = minHeap.top();
    sum += pipe.first;
    if (pipe.first > last)
      throw std::runtime_error("The output of the heap is not in the right order.");
    last = pipe.first;
    minHeap.pop();
  }
  if (sum != 45)
    throw std::runtime_error("The sum of the heap output is incorrect.");
}
Example #3
0
float handleQuery(float prev,int next,MaxHeap& maxheap,MinHeap& minheap){

    if(next>prev){
        if(minheap.n>maxheap.n){
            maxheap.insert(minheap.extractMin());
        }

        minheap.insert(next);
    }else{
        if(maxheap.n>minheap.n){
            minheap.insert(maxheap.extractMax());
        }
        maxheap.insert(next);
    }

    if((maxheap.n+minheap.n)%2==0){


        float l = maxheap.a[0];
        float r = minheap.a[0];

        return (l+r)/2;

    }else{

        if(maxheap.n>minheap.n)
            return maxheap.a[0];

        return minheap.a[0];
    }


}
void dijkstra(int gf, int gc)
{
	MinHeap H;
	init(H);	
	while(not H.empty()) 
	{
	    Node current = H.top();	    
	    H.pop();	    	    
	    if(current.f == gf and current.c == gc)
	    	return;
	    visited[current.f][current.c] = true;
	    for (int i = 0; i < 4; ++i)
	    {
	    	int nf = current.f + dx[i];
	    	int nc = current.c + dy[i];	    	
	    	if ((nf >= 0 and nf < N) and (nc >= 0 and nc < M) and not visited[nf][nc])
	    	{
	    		if(range[nf][nc] > maze[nf][nc] + range[current.f][current.c])
	    		{
	    			range[nf][nc] = maze[nf][nc] + range[current.f][current.c];
	    			H.push(Node(nf, nc, range[nf][nc]));
	    		}	    		
	    	}
	    }
	}
}
bool test_minheap()
{
	srand(time(NULL));
	MinHeap<long long> minheap;
	int lim = 1000;

	minheap.insert(12);minheap.insert(15);minheap.insert(11);minheap.insert(1);minheap.insert(12);

	if(DEBUG)printf("heap find (15) = %s\n",minheap.find(15)?"TRUE":"FALSE");
	for(long long i = 0; i < lim; i++)
	{
		minheap.insert(rand() % lim  + (rand() < (RAND_MAX/8)?-lim/10:lim));
	}
	if(DEBUG)
	{
		printf("First 15 of 1000 sorted is = [");

		for(long long i = 0; i < 15; i++)
		{
			printf("%lld,", minheap.remove_min());
		}
		printf("...]\n");

		printf("get nth = %lld\n", minheap.get_nth(15));
	}

	MinHeap<int> heap2;
	for(int i = 0; i < 1000; i ++)
	{
		heap2.insert(i);
		while(heap2.size()>50)heap2.remove_min();
	}

	return true;
}
void mexFunction(int nlhs, mxArray *plhs[], int nrhs, const mxArray *prhs[]){
	if( nrhs!=4 )
		mexErrMsgTxt("This function requires 3 arguments\n");
	if( !mxIsNumeric(prhs[0]) )
		mexErrMsgTxt("parameter 1 missing!\n");
	if( !mxIsNumeric(prhs[1]) )
		mexErrMsgTxt("parameter 2 missing!\n");
	if( !mxIsNumeric(prhs[2]) )
		mexErrMsgTxt("parameter 3 missing!\n");
    if( !mxIsNumeric(prhs[3]) )
		mexErrMsgTxt("parameter 3 missing!\n");

	// retrieve the heap
	MinHeap<double>*  heap;
	retrieve_heap( prhs[0], heap);
	// retrieve the parameters
	int index;
	retrieve_index( prhs[1], index );
	double key1;
	retrieve_cost( prhs[2], key1);
    double key2;
    retrieve_cost( prhs[3], key2);

	// push in the PQ
	try{
        heap->push( key1, key2, index-1 );
    } 
    catch( InvalidKeyIncreaseException exc ){
        return;
    }
	// return control to matlab
	return;
}
 vector<int> closestKValues(TreeNode* root, double target, int k) {
     dfs(root, target);
     vector<int> retval;
     while (!mheap.empty() && retval.size() < k) {
         Cand cand = mheap.top(); mheap.pop();
         retval.push_back(cand.second);
     }
     return retval;
 }
void heapSortUsingMinHeap(T arr[], int n){

    MinHeap<T> minheap = MinHeap<T>(n);
    for( int i = 0 ; i < n ; i ++ )
        minheap.insert(arr[i]);

    for( int i = 0 ; i < n ; i ++ )
        arr[i] = minheap.extractMin();

}
Example #9
0
int main() {
    int array[] = {10, 4, 5, 6, 9, 1, 7};

    MinHeap *minHeap = new MinHeap(array, 6);

    /*
     * General heap functions
     */
    cout << "Min: " << minHeap->get_min() << endl;
    return 0;
}
Example #10
0
void heapSortDesc(int array[], int arrLength) {

	MinHeap h = buildMinHeap(array, arrLength);
	int temp = h.size;
	for(int i = arrLength-1; i > 0; i--) {
		swap(&array[0], &array[i]);
		h.size -= 1;
		h.heapify(0);
	}
	h.size = temp;
	h.printHeap();
}
Example #11
0
int main()
{
	MinHeap<int> minHeap;
	MaxHeap<int> maxHeap;

	minHeap.push(10);
	minHeap.push(5);
	minHeap.push(12);
	minHeap.push(3);
	minHeap.push(4);

	maxHeap.push(10);
	maxHeap.push(5);
	maxHeap.push(12);
	maxHeap.push(3);
	maxHeap.push(4);

	while ( !minHeap.empty()) {
		std::cout << minHeap.top() << " ";
		minHeap.pop();
	}
	std::cout << std::endl;

	while ( !maxHeap.empty()) {
		std::cout << maxHeap.top() << " ";
		maxHeap.pop();
	}
	std::cout << std::endl;
}
	int dijkstra(int src,int ddest)
	{
		int dist[V];
		mH.init(V);
		for(int i=0;i<V;i++) dist[i]=INT_MAX;
		dist[src] = 0;
		mH.decreaseKey(src, dist[src]);
		while (mH.getsize()>0)
		{
			mH.extractMin();
			int u = mH.getminv();
			dist[u]=mH.getmindist();
			if(u==ddest) return dist[u];
			listnode* tt = graph[u];
			while (tt != NULL)
			{
				int v = tt->dest;
				if (mH.ispresent(v) && dist[u]!=INT_MAX && (tt->cost + dist[u])<(dist[v]))
				{
					dist[v] = (dist[u]+tt->cost);
					mH.decreaseKey(v, dist[v]);
				}
				tt = tt->next;
			}
		}
		return dist[ddest];
	}
Example #13
0
int main(int argc,char*argv[]) {
	if(argc !=3) {
		cout<<"Error Incorrect Syntax"<<endl;
	} else {
		string inputFile = argv[1];
		string outputFile = argv[2];
		MinHeap minHeap;
		ifstream in;
		int noOfArgs = 0,jobId,priority,duration;	
		string fileLine;
		in.open(inputFile.c_str());
		in >> noOfArgs;
		//dout<<" total args is "<<noOfArgs<<endl;
	//while (!in.eof()) {
		for(int i=0;i<noOfArgs;i++) {
			in >>jobId>>priority>>duration;
			//cout<<" arg "<<jobId<<" "<<priority<<" "<<duration<<endl;
			//cout<<"insertingggggggg......"<<endl;
			//dout<<" i is "<<
			HeapNode *heapNode = new  HeapNode(jobId,priority,duration);
			minHeap.insertHeapNode(heapNode);
			//dout<<" heap is ==="<<endl;
			//preorder();
			//dout<<" heap print over"<<endl;
		}
	//}
	cout<<"Insert over"<<endl;
	minHeap.debug_image("debug_after_insert");
	ofstream myfile;
	myfile.open (outputFile.c_str());
 	
  	
	if(!in.eof()) {
		char ch;
		in>>ch;
		if(ch == 'P'){	
		string str = minHeap.preorderString();
		cout<<"preorderString is "<<	str<<endl;
		myfile << str<<"\n";
		}
	}
	string hs = heapSort(minHeap);
	myfile << hs;
	myfile.close();
	in.close();
	//dout<<"At last"<<endl;
	//preorder();
	}
 void dfs(TreeNode* root, double target) {
     if (root == NULL) return;
     double mydiff = absDiff(root->val, target);
     mheap.push(make_pair(mydiff, root->val));
     dfs(root->left, target);
     dfs(root->right, target);
 }
Example #15
0
/*
Creates the Huffman tree reusing the given HuffmanNodes.

nodes: an array of HuffmanNode*
length: the length of nodes array

returns: the pointer to the root of the huffman tree
*/
HuffmanNode *genHuffmanTree(HuffmanNode **nodes, int length) {

	MinHeap min = MinHeap(nodes, length);//create the array with minHeap constructor

	while (min.heapSize > 1)//it will run until the array has size one
	{
		HuffmanNode *L, *R;//we make the nodes for left and right
		L = min.extractMin();//we extract the min from the heap and assign it to left
		R = min.extractMin();//we do the same for the right
		HuffmanNode *internal = new HuffmanNode(L->frequency + R->frequency, L, R);//we create an internal node with the sum of the frequency left and right.
																				   //we also assign left and right to be child of internal
		min.insert(internal);//we insert the internal node back into the heap
	}

	return min.extractMin();//we extract the min but since we only got one element left in the array, this should be the root.
}
Example #16
0
void RetManager::retrieval(unsigned retNum)
{
	retDocID = new unsigned[retNum];
	retDocScore = new float[retNum];

	BlockManager *BM = new BlockManager(r,num,retNum);

	int i,l,n;
	while((curDoc = findNextDoc())!=MaxNum)
	{
		for(i=0;i<num;i++) if(r[i].curDocID<curDoc) r[i].curDocID = moveToDoc(i,curDoc);
		BM->putDoc(curDoc,r);
	}
	const float okapiK1=1.2;
	const float okapiB=0.2;
	BlockNode ** blockList = BM->getBlockList();
	vector<pair<unsigned,unsigned*> >::iterator it;
	for(i=0;i<BM->getBlockNum();i++)
	{
		n=blockList[i]->termScores.size();
		int theSize = blockList[i]->content->record.size();
		if(theSize+retN>retNum) theSize = retNum-retN;
		if(theSize==0) continue;
		topDocs = new MinHeap(theSize);
		for(it=blockList[i]->content->record.begin();it!=blockList[i]->content->record.end();it++)
		{
			unsigned* theTF = it->second;
			float score = 0;
			float docLength = theIndex -> getDocLength(it->first);
			for(l=0;l<n;l++)
			{
				float tf = theTF[l];
				float weight = ((okapiK1+1.0)*tf) / (okapiK1*(1.0-okapiB+okapiB*docLength/theIndex->docLengthAvg)+tf);
				score+=weight*blockList[i]->termScores[l];
			}
			if(score > topDocs->smallest) topDocs->push(it->first,score);
			evalCounter++;
		}
		for(l=retN+theSize-1;l>=retN;l--)
		{
			retDocID[l] = topDocs->pop(retDocScore[l]);
		}
		retN+=theSize;
		delete(topDocs);
	}
	delete(BM);
}
Example #17
0
string heapSort(MinHeap minHeap){
	ostringstream oss("");
	HeapNode*ptr = minHeap.extractMin();
	while(ptr !=NULL) {
		oss<<ptr->getJobId();
		oss<<" ";
		oss<<ptr->getPriority();
		oss<<" ";
		oss<<ptr->getDuration();
		oss<<" ";	
		oss<<endl;
		ptr = minHeap.extractMin();
	}
	cout<<"heap sort over"<<endl;
	cout <<oss.str()<<endl;
	return oss.str();	
}
 double findMedian() {
   /*
   Three cases: since abs(max_heap_.size() - min_heap_.size()) <= 1
   denote x as min(max_heap_.size() - min_heap_.size())
   1) size x and x means even elements so it just the average of max of first
   heap and min of second heap 2) size x + 1 and x means odd elements so the
   max of the first heap is the median element 3) size x and x + 1 means odd
   elements so the min of the second heap is the median element
   */
   if (max_heap_.size() == min_heap_.size()) {
     return (double)(max_heap_.top() + min_heap_.top()) / 2.0;
   } else if (max_heap_.size() > min_heap_.size()) {
     return max_heap_.top();
   } else {
     return min_heap_.top();
   }
 }
Example #19
0
int lessMoney(Arr& data) {
	int cost = 0;
	MinHeap result;
	for (auto e : data)
		result.push(e);
	while (result.size() != 1) {
		auto tmp = result.top();
		result.pop();
		tmp += result.top();
		result.pop();
		result.push(tmp);
	}
	return result.top();
}
Example #20
0
void RetManager::retrieval(unsigned retNum)
{
	retDocID = new unsigned[retNum];
	retDocScore = new float[retNum];
	topDocs = new MinHeap(retNum);
	DecisionTree *DT = new DecisionTree(r,num,retNum);
	
	while((curDoc = findNextDoc())!=MaxNum)
	{
		DT->putDoc(curDoc,r);
		//float score = grade();
		//if(score > topDocs->smallest) topDocs->push(curDoc,score);
	}
	int i,l,n;
	const float okapiK1=1.2;
	const float okapiB=0.2;
	DecisionTreeNode **blockList = DT->getBlockList();
	vector<pair<unsigned,unsigned*> >::iterator it;
	for(i=0;i<DT->getBlockNum();i++)
	{
		n=blockList[i]->termScores.size();
		for(it=blockList[i]->content->record.begin();it!=blockList[i]->content->record.end();it++)
		{
			unsigned* theTF=it->second;
			float score=0;
			float docLength = theIndex -> getDocLength(it->first);
			for(l=0;l<n;l++)
			{
				float tf = theTF[l];
				float weight = ((okapiK1+1.0)*tf) / (okapiK1*(1.0-okapiB+okapiB*docLength/theIndex->docLengthAvg)+tf);
				score+=weight*blockList[i]->termScores[l];
			}
			if(score > topDocs->smallest) topDocs->push(it->first,score);
			evalCounter++;
		}
	}

	retN = topDocs->n;
	for(i=retN-1;i>=0;i--)
	{
		retDocID[i] = topDocs->pop(retDocScore[i]);
	}
	delete(topDocs);
	delete(DT);
}
Example #21
0
int main()
{
	int ar[]={56,34,90,23,18,100,89,10,45,78,65};
	int n = sizeof(ar)/sizeof(ar[0]);
	MinHeap<int> mh;
	for(int i = 0;i<n;++i)
	{
		mh.Insert(ar[i]);
	}

	int x;
	while(mh.Remove(x))
	{
		std::cout << x <<" ";
	}
	std::cout << std::endl;
	return 0;
}
Example #22
0
void init(MinHeap &H)
{
	H.push(Node(0, 0, maze[0][0]));	
	for (int i = 0; i < MAX; ++i)
	{
		memset(visited[i], false, sizeof(visited[i]));
		fill(range[i], range[i] + MAX, INF);
	}
	range[0][0] = maze[0][0];
}
Example #23
0
Graph<T>& Graph<T>::Prim( int key )
{
    assert( Adjacent.size() > 0 );
    MinHeap<int> Heap;
    int V;
    for( int i = 0; i < Adjacent[key].size(); i++ )
    {
	for( int j = 0; j  < Adjacent[key][i].first->Neighbors.size(); j++ )
	{
	    V++;
	}
    }
    Graph<T> MST;
    Node<T>* current = Adjacent[key][0].first;
    for( int i = 0; i < Adjacent[key].size(); i++ )
    {
	if( !current->visited )
	{
	    current->visited = true;
	    MST.AddNode( current );
	    for( int j = 0; j < current->Neighbors.size(); j++ )
	    {
		Heap.push( current->Neighbors[j].second );
	    }
	    int min = Heap.top();
	    for( int j = 0; j < current->Neighbors.size(); j++ )
	    {
		if( min == current->Neighbors[j].second )
		{
		    //MST.AddNode( current->Neighbors[j].first, min );
		    current = current->Neighbors[j].first;
		    break;
		}
	    }
	    while( !Heap.empty() )
	    {
		Heap.pop();
	    }
	}
    }

    return &MST;
}
Example #24
0
  int* minimumSpanningTree() {
    int* parents = new int[size];
    bool* seen = new bool[size];
    int* weights = new int[size];
    MinHeap* q = new MinHeap();

    for (size_t i = 0; i < size; i ++) {
      parents[i] = 0;
      weights[i] = MAX_INT;
      seen[i] = false;
    }

    weights[0] = 0;
    parents[0] = -1;
    q->insert(0, 0);
    for (size_t count = 1 ; count < size; count++) {
      int minIndex = q->extractMin();

      seen[minIndex] = true;

      for(size_t i = 0; i < size; i++) {
        int edgeCost = getEdge(minIndex, i);
        if (edgeCost <= 0 || seen[i]) {
          continue;
        }

        if (edgeCost < weights[i]) {
          weights[i] = edgeCost;
          q->insertOrDecrease(i, edgeCost);
          parents[i] = minIndex;
        }
      }
    }

    for (size_t i = 1; i < size; i++) {
      cout << i << " - " << parents[i] << " (" << weights[i] << ")" << endl;
    }

    delete[] weights;
    delete[] seen;
    delete q;
    return parents;
  }
Example #25
0
DoubleLinkedList<GraphNode *> Dijkstra(GraphNode *Start, GraphNode * End)
{
	Map<GraphNode *, DijkstraHelperNode *> NodeHelperMap;
	DoubleLinkedList<DijkstraHelperNode *> Visited;
	MinHeap<DijkstraHelperNode *> OpenHeap;
	DijkstraHelperNode *NewHelper = new DijkstraHelperNode();
	NewHelper->m_Node = Start;
	NewHelper->m_Cost = 0;
	NodeHelperMap.Insert(Start, NewHelper);
	OpenHeap.Insert(NewHelper);
	while(!OpenHeap.IsEmpty())
	{
		DijkstraHelperNode *CurrentHelperNode = OpenHeap.PopTop();
		assert(CurrentHelperNode != NULL);
		GraphNode *CurrentGraphNode = CurrentHelperNode->m_Node;
		assert(CurrentGraphNode != NULL);
		DoubleLinkedList<GraphEdge *> *CurrendEdges = CurrentGraphNode->GetEdges();
		DoubleListNode<GraphEdge *> *CurrentEdge = CurrentEdges.GetHead();
		while(CurrentEdge != NULL)
		{
			GraphNode *OtherNode = CurrentEdge->m_End;
			if(OtherNode == CurrentGraphNode)
			{
				OtherNode = CurrentEdge->m_Start;
			}
			assert(OtherNode != CurrentGraphNode);
			DijkstraHelperNode *NodeHelper = NodeHelperMap.GetValue(OtherNode);
			if(NodeHelper == NULL)
			{
 				NodeHelper = new DijkstraHelperNode();
				NodeHelper->m_Node = OtherNode;
				NodeHelperMap.Insert(OtherNode, NodeHelper);		
				OpenHeap.Insert(NodeHelper);
			}
			int CostToNode = CurrentHelperNode->m_Cost + CurrentEdge->m_Cost;
			if(CostToNode < NodeHelper->m_Cost)
			{		
				NodeHelper->m_Cost = CostToNode;
				NodeHelper->m_Previous = CurrentGraphNode;
				OpenHeap.Update(NodeHelper);
			}
			if(OtherNode == End)
			{
				break;
			}
		}
	}

	DoubleLinkedList<GraphNode *> Path;
	DijkstraHelperNode *EndHelper = NodeHelperMap.GetValue(End);
	if(EndHelper != NULL)
	{
		DijkstraHelperNode *CurrentHelper = EndHelper;
		while(CurrentHelper != NULL)
		{
			Path.AddFront(CurrentHelper->m_Node);
			CurrentHelper = CurrentHelper->m_Previous;
		}
	}
}
unsigned int min_distance(const AdjacencyList& graph)
{
    vector<unsigned int> distances(graph.size(), infinity);
    MinHeap cut;

    distances[0] = 0;
    cut.push(make_pair(0, 0));

    while (!cut.empty())
    {
        unsigned int closest    = cut.top().second;
        unsigned int to_closest = cut.top().first;

        cut.pop();

        if (distances[closest] < to_closest)
        {
            continue;
        }

        for (unsigned int i = 0; i < graph[closest].size(); ++i)
        {
            unsigned int adjacent = graph[closest][i].first;
            unsigned int distance = graph[closest][i].second;

            if (distances[adjacent] > to_closest + distance)
            {
                distances[adjacent] = to_closest + distance;
                cut.push(make_pair(distances[adjacent], adjacent));
            }
        }
    }

    return distances.back();
}
Example #27
0
 HuffmanTree::HuffmanTree()
 {
     MinHeap<HufTreeNodePtr> M;
     int calcu[26]={0};//0->a
     HufTreeNode *p;
     HufTreeNodePtr ptr;
     char c[100];
     cout<<"请输入以#结尾的一串小写英文序列"<<endl;
     cin>>c;
     int i=0;
     while (c[i]!='#')
     {
         calcu[c[i]-'a']++;
         i++;
     }
     for (int i=0;i<26;i++)
     {
         if (calcu[i]==0) continue;
         cout<<calcu[i]<<' '<<(char)('a'+i)<<endl;/////////////////////////////////
         p=new HufTreeNode(calcu[i],'a'+i);
         ptr.p=p;
         M.Put(ptr);
     }
     HufTreeNodePtr ptra,ptrb;
     while (M.Length()>1)
     {
         ptrb=M.Remove();
         ptra=M.Remove();
         ptr.p=new HufTreeNode(ptra.p->weight+ptrb.p->weight);
         ptr.p->leftChild=ptra.p;
         ptr.p->rightChild=ptrb.p;
         M.Put(ptr);
     }
     root=M.Front().p;
 }
int MedianMaintenance(MaxHeap<int>& heapLow, MinHeap<int>& heapHigh, int elem)
{
	if(heapLow.size() == heapHigh.size())
	{
		if(heapLow.size())
		{
			if(elem > heapHigh.get_min())
			{
				heapHigh.insert(elem);
				heapLow.insert(heapHigh.extract_min());
			}
			else
				heapLow.insert(elem);
		}
		else
			heapLow.insert(elem);
	}
	else
	{
		if(elem < heapLow.get_max())
		{
			heapLow.insert(elem);
			heapHigh.insert(heapLow.extract_max());
		}
		else
			heapHigh.insert(elem);
	}

	return heapLow.get_max();
}
Example #29
0
 ListNode *mergeKLists(vector<ListNode *> &lists) {
     if( lists.size() < 1 ) return NULL;
     
     MinHeap minHeap;
     for( int i = 0; i < lists.size(); ++i ) {
         if( lists[i] != NULL ) minHeap.push( lists[i] );
     }
     
     if( minHeap.size() == 0 ) return NULL;
     
     ListNode* head = minHeap.top();
     ListNode* curr = head;
     minHeap.pop();
     
     while( minHeap.size() ) {
         if( curr->next ) minHeap.push(curr->next);
         curr->next = minHeap.top();
         curr = curr->next;
         minHeap.pop();
     }
     
     return head;
 }
Example #30
0
int main()
{
	MaxHeap<int> mh;
	mh.Push(3);
	mh.Push(4);
	mh.Push(8);
	mh.Push(1);
	mh.Push(9);
	for (int i = 0; i < mh.Size(); ++i) {
		std::cout << mh[i] << " ";
	}
	std::cout << std::endl;
	std::cout << "==========" << std::endl;
	std::cout << mh.Pop() << std::endl;
	for (int i = 0; i < mh.Size(); ++i) {
		std::cout << mh[i] << " ";
	}
	std::cout << std::endl;
	std::cout << "==========" << std::endl;
	MinHeap<int> minH;
	minH.Push(3);
	minH.Push(4);
	minH.Push(8);
	minH.Push(1);
	minH.Push(9);
	for (int i = 0; i < minH.Size(); ++i) {
		std::cout << minH[i] << " ";
	}
	std::cout << std::endl;
	std::cout << minH.Pop() << std::endl;
	for (int i = 0; i < minH.Size(); ++i) {
		std::cout << minH[i] << " ";
	}
	std::cout << std::endl;
	std::cout << "---" << std::endl;
	std::cout << re(3, 4) << std::endl;
	std::vector<int> A{3, 6, 5};
	A.pop_back();
	for (auto &it : A) {
		std::cout << it << std::endl;
	}
	std::cout << A.front() << "," << A.size() << std::endl;
	return 0;
}