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#include <bits/stdc++.h>

using namespace std;

struct road {
    int length;
    int infectedAround;
    int dayToInfect;
};

bool compareRoads(road r1, road r2) {
    double r1Value = ((r1.length*1.0)/r1.infectedAround);
    double r2Value = ((r2.length*1.0)/r2.infectedAround);

    return r1Value < r2Value;
}

int task(int n, string citiesState) {
    vector<road> roads;

    int totalInfected = 0;
    int length = 0;
    int infectedAround = 0;

    for(int i = 0; i < n; i++) {
        if(citiesState[i] == '1') {
            totalInfected++;
            if(length > 0) {
                roads.push_back({
                    length, infectedAround+1,
                    static_cast<int>(ceil((length*1.0)/(infectedAround+1.0)))
                });
                length = 0;
            }
            infectedAround = 1;
        } else {
            length++;
        }
    }
    if(length > 0 and infectedAround) {
        roads.push_back({
            length, infectedAround,
            static_cast<int>(ceil((length*1.0)/(infectedAround)))});
    }

    sort(roads.begin(), roads.end(), compareRoads);

    int dayCount = 0;
    int iterator = roads.size() - 1;
    if(iterator == -1)
    {
        return totalInfected;
    }
    while(roads[iterator].dayToInfect > dayCount) {
        totalInfected += dayCount*roads[iterator].infectedAround;
        if(roads[iterator].infectedAround == 2) {
            int updatedLength = roads[iterator].length - dayCount*roads[iterator].infectedAround;
            dayCount += 2;
            if(updatedLength > 1)
                totalInfected++;
            if(updatedLength == 2)
                dayCount--;
        } else {
            dayCount += 1;
        }
        iterator--;
    }
    for(int i = 0; i <= iterator; i++) {
        totalInfected += roads[i].length;
    }

    return totalInfected;
}

int main() {
    std::ios_base::sync_with_stdio(false);
    int t;
    cin >> t;

    for(int i = 0; i < t; i++) {
        int n;
        string citiesState;
        cin >> n;
        cin >> citiesState;
        cout<<task(n, citiesState)<<endl;
    }

    return 0;
}