#pragma once
#include <iostream>
#include <string>
#include <vector>
using namespace std;

class minHeap
{
private:
	vector<double> items;

public:
	minHeap()
	{
	}

	int parent(int i)
	{
		return (i - 1) / 2;
	}

	//Bubble item at index i
	//up the heap until
	//there is no more violation
	void bubbleUp(int i)
	{
		while (items[i] < items[parent(i)]) //there's a violation
		{
			swap(items[i], items[parent(i)]);
			i = parent(i); //update i to be parent.
		}
	}

	void insert(double x)
	{
		//Isert item at right-most
		//bottom leaf position
		items.push_back(x);

		bubbleUp(items.size()-1);
	}

	void testDisplay()
	{
		for (int i = 0; i < items.size(); i++)
			cout << "Index " << i << ": " << items[i] << endl;
	}
};