#include <bits/stdc++.h>
using namespace std;
const long long MOD=1000000007;
// const long long MOD=998244353;
#define LOCAL
#pragma region Macros
typedef long long ll;
typedef __int128_t i128;
typedef unsigned int uint;
typedef unsigned long long ull;
#define ALL(x) (x).begin(),(x).end()
const int INF=INT_MAX;
const long long IINF=1e18;
const int dx[4]={1,0,-1,0},dy[4]={0,1,0,-1};
const char dir[4]={'D','R','U','L'};

template<typename T>
istream &operator>>(istream &is,vector<T> &v){
    for (T &x:v) is >> x;
    return is;
}
template<typename T>
ostream &operator<<(ostream &os,const vector<T> &v){
    for (int i=0;i<v.size();++i){
        os << v[i] << (i+1==v.size()?"": " ");
    }
    return os;
}
template<typename T,typename U>
ostream &operator<<(ostream &os,const pair<T,U> &p){
    os << '(' << p.first << ',' << p.second << ')';
    return os;
}
template<typename T,typename U,typename V>
ostream&operator<<(ostream &os,const tuple<T,U,V> &t){
    os << '(' << get<0>(t) << ',' << get<1>(t) << ',' << get<2>(t) << ')';
    return os;
}
template<typename T,typename U,typename V,typename W>
ostream&operator<<(ostream &os,const tuple<T,U,V,W> &t){
    os << '(' << get<0>(t) << ',' << get<1>(t) << ',' << get<2>(t) << ',' << get<3>(t) << ')';
    return os;
}
template<typename T,typename U>
ostream &operator<<(ostream &os,const map<T,U> &m){
    os << '{';
    for (auto itr=m.begin();itr!=m.end();){
        os << '(' << itr->first << ',' << itr->second << ')';
        if (++itr!=m.end()) os << ',';
    }
    os << '}';
    return os;
}
template<typename T,typename U>
ostream &operator<<(ostream &os,const unordered_map<T,U> &m){
    os << '{';
    for (auto itr=m.begin();itr!=m.end();){
        os << '(' << itr->first << ',' << itr->second << ')';
        if (++itr!=m.end()) os << ',';
    }
    os << '}';
    return os;
}
template<typename T>
ostream &operator<<(ostream &os,const set<T> &s){
    os << '{';
    for (auto itr=s.begin();itr!=s.end();){
        os << *itr;
        if (++itr!=s.end()) os << ',';
    }
    os << '}';
    return os;
}
template<typename T>
ostream &operator<<(ostream &os,const multiset<T> &s){
    os << '{';
    for (auto itr=s.begin();itr!=s.end();){
        os << *itr;
        if (++itr!=s.end()) os << ',';
    }
    os << '}';
    return os;
}
template<typename T>
ostream &operator<<(ostream &os,const unordered_set<T> &s){
    os << '{';
    for (auto itr=s.begin();itr!=s.end();){
        os << *itr;
        if (++itr!=s.end()) os << ',';
    }
    os << '}';
    return os;
}
template<typename T>
ostream &operator<<(ostream &os,const deque<T> &v){
    for (int i=0;i<v.size();++i){
        os << v[i] << (i+1==v.size()?"": " ");
    }
    return os;
}

void debug_out(){cerr << '\n';}
template<class Head,class... Tail>
void debug_out(Head&& head,Tail&&... tail){
    cerr << head;
    if (sizeof...(Tail)>0) cerr << ", ";
    debug_out(move(tail)...);
}
#ifdef LOCAL
#define debug(...) cerr << " ";\
cerr << #__VA_ARGS__ << " :[" << __LINE__ << ":" << __FUNCTION__ << "]" << '\n';\
cerr << " ";\
debug_out(__VA_ARGS__)
#else
#define debug(...) 42
#endif

template<typename T> T gcd(T x,T y){return y!=0?gcd(y,x%y):x;}
template<typename T> T lcm(T x,T y){return x/gcd(x,y)*y;}

template<class T1,class T2> inline bool chmin(T1 &a,T2 b){
    if (a>b){a=b; return true;} return false;
}
template<class T1,class T2> inline bool chmax(T1 &a,T2 b){
    if (a<b){a=b; return true;} return false;
}
#pragma endregion

template<typename Monoid>
struct SegmentTree{
    typedef function<Monoid(Monoid,Monoid)> F;
    int n;
    F f;
    Monoid id;
    vector<Monoid> dat;
    SegmentTree(int n_,F f,Monoid id):f(f),id(id){init(n_);}
    void init(int n_){
        n=1;
        while(n<n_) n<<=1;
        dat.assign(n<<1,id);
    }
    void build(const vector<Monoid> &v){
        for (int i=0;i<v.size();++i) dat[i+n]=v[i];
        for (int i=n-1;i;--i) dat[i]=f(dat[i<<1|0],dat[i<<1|1]);
    }
    void update(int k,Monoid x){
        dat[k+=n]=x;
        while(k>>=1) dat[k]=f(dat[k<<1|0],dat[k<<1|1]);
    }
    Monoid query(int a,int b){
        if (a>=b) return id;
        Monoid vl=id,vr=id;
        for (int l=a+n,r=b+n;l<r;l>>=1,r>>=1){
            if (l&1) vl=f(vl,dat[l++]);
            if (r&1) vr=f(dat[--r],vr);
        }
        return f(vl,vr);
    }
    template<typename C>
    int find_subtree(int k,const C &check,Monoid &M,bool type){
        while(k<n){
            Monoid nxt=type?f(dat[k<<1|type],M):f(M,dat[k<<1|type]);
            if (check(nxt)) k=k<<1|type;
            else M=nxt,k=k<<1|(type^1);
        }
        return k-n;
    }
    // min i s.t. f(seg[a],seg[a+1],...,seg[i]) satisfy "check"
    template<typename C>
    int find_first(int a,const C &check){
        Monoid L=id;
        if (a<=0){
            if (check(f(L,dat[1]))) return find_subtree(1,check,L,false);
            return -1;
        }
        int b=n;
        for (int l=a+n,r=b+n;l<r;l>>=1,r>>=1){
            if (l&1){
                Monoid nxt=f(L,dat[l]);
                if (check(nxt)) return find_subtree(l,check,L,false);
                L=nxt; ++l;
            }
        }
        return -1;
    }
    // max i s.t. f(seg[i],...,seg[b-2],seg[b-1]) satisfy "check"
    template<typename C>
    int find_last(int b,const C &check){
        Monoid R=id;
        if (b>=n){
            if (check(f(dat[1],R))) return find_subtree(1,check,R,true);
            return -1;
        }
        int a=n;
        for (int l=a,r=b+n;l<r;l>>=1,r>>=1){
            if (r&1){
                Monoid nxt=f(dat[--r],R);
                if (check(nxt)) return find_subtree(r,check,R,true);
                R=nxt;
            }
        }
        return -1;
    }
    Monoid operator[](int i){return dat[i+n];}
};

int main(){
    cin.tie(0);
    ios::sync_with_stdio(false);
    int N; cin >> N;
    vector<pair<int,int>> X;
    for (int i=0;i<N;++i){
        int x; cin >> x;
        X.emplace_back(x,i);
    }
    sort(ALL(X));

    int Q; cin >> Q;
    vector<tuple<int,int,int,int>> query;
    for (int i=0;i<Q;++i){
        int l,r,x; cin >> l >> r >> x; --l;
        query.emplace_back(x,l,r,i);
    }
    sort(ALL(query));

    vector<ll> ans(Q,IINF);
    SegmentTree<ll> seg1(N,[](ll a,ll b){return min(a,b);},IINF)
                    ,seg2(N,[](ll a,ll b){return max(a,b);},-IINF);

    for (int i=Q-1,j=N-1;i>=0;--i){
        int l,r,x,id;
        tie(x,l,r,id)=query[i];
        while (j>=0&&X[j].first>=x) seg1.update(X[j].second,X[j].first),--j;
        chmin(ans[id],seg1.query(l,r)-x);
    }
    for (int i=0,j=0;i<Q;++i){
        int l,r,x,id;
        tie(x,l,r,id)=query[i];
        while (j<N&&X[j].first<=x) seg2.update(X[j].second,X[j].first),++j;
        chmin(ans[id],x-seg2.query(l,r));
    }

    for (int a:ans) cout << a << '\n';
}