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#include <iostream>
#include <string>
#include <vector>

std::vector<std::pair<int, int>> getHealthyCities(std::string cities)
{
	// (number of cities, how many times to vaccinate)
	std::vector<std::pair<int, int>> healthyCities;

	int numOfCities = 0;
	bool marginCity = true;

	for (int i = 0; i < cities.length(); i++)
	{
		if (cities[i] == '0')
		{
			numOfCities++;
		}
		else if (numOfCities != 0)
		{
			healthyCities.push_back(std::make_pair(numOfCities, numOfCities > 1 ? 2 : 1));
			numOfCities = 0;
		}
	}
	if (numOfCities != 0)
	{
		healthyCities.push_back(std::make_pair(numOfCities, 1));
	}
	if (cities[0] == '0')
	{
		healthyCities[0].second = 1;
	}

	return healthyCities;
}

int getNumOfInfectedCities(std::string cities)
{
	int res = 0;
	for (int i = 0; i < cities.length(); i++)
	{
		if (cities[i] == '1')
		{
			res++;
		}
	}
	return res;
}

void vaccination(std::vector<std::pair<int, int>> &cities)
{
	int max = 0;
	int index = 0;
	for (int i = 0; i < cities.size(); i++)
	{
		if (max < cities[i].first)
		{
			max = cities[i].first;
			index = i;
		}
	}

	if (max < 5)
	{
		if (cities.back().first >= 2 && cities.back().second == 1)
		{
			index = cities.size() - 1;
		}
		else if (cities.front().first >= 2 && cities.front().second == 1)
		{
			index = 0;
		}
	}
	if (max == 5)
	{
		if (cities.front().first + 1 == max && cities.front().second == 1)
		{
			index = 0;
		}
		else if (cities.back().first + 1 == max && cities.back().second == 1)
		{
			index = cities.size() - 1;
		}
	}
	cities[index].second--;
	if (cities[index].second == 0 || cities[index].first <= 1)
	{
		cities.erase(cities.begin()+ index);
	}
}
int infect(std::vector<std::pair<int, int>> &cities)
{
	int res = 0;
	for (int i = 0; i < cities.size(); i++)
	{
		int toInfect = cities[i].first < cities[i].second ? 1 : cities[i].second;
		cities[i].first -= toInfect;
		res += toInfect;
		if (cities[i].first <= 0)
		{
			cities.erase(cities.begin() + i);
			i--;
		}
	}
	return res;
}

int main()
{
	int t; // Number of test cases
	int* n; // number of cities
	std::string* city;

	std::cin >> t;
	n = new int[t];
	city = new std::string[t];

	for (int i = 0; i < t; i++)
	{
		std::cin >> n[i] >> city[i];
	}

	for (int i = 0; i < t; i++)
	{
		int infected = getNumOfInfectedCities(city[i]);
		std::vector<std::pair<int, int>> healthCities = getHealthyCities(city[i]);

		while (healthCities.size() > 0)
		{
			vaccination(healthCities);
			infected += infect(healthCities);
		}

		// display
		std::cout << infected << "\n";
	}

	return 0;
}