#include <bits/stdc++.h>
#pragma GCC optimize("Ofast")
#pragma GCC optimize("unroll-loops")
using namespace std;
using std::cout;
using std::cin;
using std::endl;
using ll=long long;
using ld=long double;
ll ILL=2167167167167167167;
const int INF=2100000000;
const int mod=998244353;
#define rep(i,a,b) for (ll i=a;i<b;i++)
#define all(p) p.begin(),p.end()
template<class T> using _pq = priority_queue<T, vector<T>, greater<T>>;
template<class T> ll LB(vector<T> &v,T a){return lower_bound(v.begin(),v.end(),a)-v.begin();}
template<class T> ll UB(vector<T> &v,T a){return upper_bound(v.begin(),v.end(),a)-v.begin();}
template<class T> bool chmin(T &a,const T &b){if(a>b){a=b;return 1;}else return 0;}
template<class T> bool chmax(T &a,const T &b){if(a<b){a=b;return 1;}else return 0;}
template<class T> void So(vector<T> &v) {sort(v.begin(),v.end());}
template<class T> void Sore(vector<T> &v) {sort(v.begin(),v.end(),[](T x,T y){return x>y;});}
void yneos(bool a){if(a) cout<<"Yes\n"; else cout<<"No\n";}
template<class T> void vec_out(vector<T> &p){for(int i=0;i<(int)(p.size());i++){if(i) cout<<" ";cout<<p[i];}cout<<"\n";}
template<class T> T vec_min(vector<T> &a){assert(!a.empty());T ans=a[0];for(auto &x:a) chmin(ans,x);return ans;}
template<class T> T vec_max(vector<T> &a){assert(!a.empty());T ans=a[0];for(auto &x:a) chmax(ans,x);return ans;}
template<class T> T vec_sum(vector<T> &a){assert(!a.empty());T ans=a[0]-a[0];for(auto &x:a) ans+=x;return ans;}
int pop_count(long long a){int res=0;while(a){res+=(a&1),a>>=1;}return res;}

namespace po167{
template <class T,T (*op)(T,T),T(*e)()>
struct segment_tree{
	int _n,size;
	std::vector<T> seg;
	int ceil_pow2(int a){
		int b=1;
		while(a>b){
			b<<=1;
		}
		return b;
	}
	void update(int k){seg[k]=op(seg[k*2],seg[k*2+1]);};
	segment_tree(int n) :_n(n){
		size=ceil_pow2(n);
		seg=std::vector<T>(size*2,e());
	}
	segment_tree(std::vector<T> &p) :_n((int) p.size()){
		size=ceil_pow2(_n);
		seg=std::vector<T>(size*2,e());
		for(int i=0;i<_n;i++) seg[i+size]=p[i];
		for(int i=size-1;i>0;i--) update(i);
	}
	void set(int ind,T val){
		assert(0<=ind&&ind<_n);
		ind+=size;
		seg[ind]=val;
		while(ind!=1){
			ind>>=1;
			update(ind);
		}
	}
    void addl(int ind,T val){
        set(ind,op(get(ind),val));
    }
    void addr(int ind,T val){
        set(ind,op(val,get(ind)));
    }
	T get(int ind){
		assert(0<=ind&&ind<_n);
		return seg[ind+size];
	}
	T query(int l,int r){
		assert(0<=l&&l<=r&&r<=_n);
		T l_val=e();
		T r_val=e();
		l+=size,r+=size;
		while(l<r){
			if(l&1) l_val=op(l_val,seg[l]),l+=1;
			if(r&1) r-=1,r_val=op(seg[r],r_val);
			r>>=1;
			l>>=1;
		}
		return op(l_val,r_val);
	}
	template <bool (*f)(T)> int max_right(int l) {
        return max_right(l, [](T x) { return f(x); });
    }
	template <class F> int max_right(int l, F f) {
		assert(0<=l&&l<=_n);
		assert(f(e()));
		if(f(query(l,_n))) return _n;
		T val=e();
		l+=size;
		while(true){
			while(l%2==0) l>>=1;
			if(!f(op(val,seg[l]))){
				while(l<size){
					l*=2;
					if(f(op(val,seg[l]))){
						val=op(val,seg[l]);
						l++;
					}
				}
				return l-size;
			}
			val=op(val,seg[l]);
			l++;
		}
	}
	template <bool (*f)(T)> int min_left(int r) {
        return min_left(r, [](T x) { return f(x); });
    }
    template <class F> int min_left(int r, F f) {
        assert(0 <= r && r <= _n);
        assert(f(e()));
        if (r == 0) return 0;
        r += size;
        T sm = e();
        do {
            r--;
            while (r > 1 && (r % 2)) r >>= 1;
            if (!f(op(seg[r], sm))) {
                while (r < size) {
                    r = (2 * r + 1);
                    if (f(op(seg[r], sm))) {
                        sm = op(seg[r], sm);
                        r--;
                    }
                }
                return r + 1 - size;
            }
            sm = op(seg[r], sm);
        } while ((r & -r) != r);
        return 0;
    }

};
}
using po167::segment_tree;


using F= int;
F op1(F a,F b){return a+b;}
F e1(){return 0;}

struct G{
	int l;
	int r;
	int val;
	int same;
	int len_l;
	int len_r;
};

G op2(G a,G b){
	if(a.l==-1) return b;
	if(b.l==-1) return a;
	if(a.r==b.l){
		chmax(a.val,a.len_r+b.len_l);
		if(a.same) a.len_l+=b.len_l;
		if(b.same) a.len_r+=b.len_r;
		else{
			a.r=b.r;
			a.len_r=b.len_r;
		}
		a.same*=b.same;
		chmax(a.val,b.val);
	}else{
		a.r=b.r;
		a.same=0;
		a.len_r=b.len_r;
		chmax(a.val,b.val);
	}
	return a;
}
G e2(){
	return {-1,-1,-1,-1,-1,-1};
}

void solve();
// oddloop
int main() {
	ios::sync_with_stdio(false);
	cin.tie(nullptr);
	
	int t=1;
	//cin>>t;
	rep(i,0,t) solve();
}

void solve(){
	int N,Q;
	cin>>N>>Q;
	string S;
	cin>>S;
	segment_tree<F,op1,e1> seg1(N);
	segment_tree<G,op2,e2> seg2(N);
	rep(i,0,N){
		int a=S[i]-'0';
		seg1.set(i,2*a-1);
		seg2.set(i,{a,a,1,1,1,1});
	}
	rep(rp,0,Q){
		int L,R,K;
		cin>>L>>R>>K;
		L--;
		int Z=2*K-1;
		auto tmp=seg2.query(L,R);
		if(tmp.val<K){
			cout<<R-L<<"\n";
			continue;
		}
		int X=seg1.query(L,R);
		X%=Z;
		int Y=-X;
		while(X<K) X+=Z;
		while(Y<K) Y+=Z;
		cout<<min(X,Y)-1<<"\n";
	}
}